DSQ: Calculating the area of an acute / obtuse triangle - GMAT Quantitative
Card 0 of 24
Note: Figure NOT drawn to scale.
What is the area of the above arrow?
Statement 1: 
Statement 2: 
Note: Figure NOT drawn to scale.
What is the area of the above arrow?
Statement 1:
Statement 2:
It can already be ascertained from the figure that 
, since the left portion is a rectangle, so Statement 2 is redundant.
We can already calculate the area of the rectangular portion of the arrow:
All this is left is to calculate the area of the triangular portion. If we know Statement 1, we can take half the product of the height, which is 13, and the base, which is 
:
Add these numbers to get the area of the arrow: 
It can already be ascertained from the figure that
We can already calculate the area of the rectangular portion of the arrow:
All this is left is to calculate the area of the triangular portion. If we know Statement 1, we can take half the product of the height, which is 13, and the base, which is
Add these numbers to get the area of the arrow:
Compare your answer with the correct one above
What is the area of a triangle on the coordinate plane with two of its vertices at 
?
Statement 1: The 
-coordinate of its third vertex is 6.
Statement 2: The 
-coordinate of its third vertex is 8.
What is the area of a triangle on the coordinate plane with two of its vertices at
Statement 1: The
Statement 2: The
The area of a triangle is half the product of its base and its height.
The triangle has as its base a horizontal line of length 10, so the height of the triangle would be the perpendicular - which in this case is vertical - distance from the third vertex to that base. Since the base is part of the 
-axis, this height is the absolute value of the 
-coordinate, which is only given by Statement 2. Statement 1 turns out to be irrelevant.
This is illustrated by this diagram:
The area of a triangle is half the product of its base and its height.
The triangle has as its base a horizontal line of length 10, so the height of the triangle would be the perpendicular - which in this case is vertical - distance from the third vertex to that base. Since the base is part of the
This is illustrated by this diagram:
Compare your answer with the correct one above
Two of the vertices of a triangle on the coordinate plane are 
. What is its area?
Statement 1: The 
-coordinate of the third vertex is 8.
Statement 2: The 
-coordinate of the third vertex is 5.
Two of the vertices of a triangle on the coordinate plane are
Statement 1: The
Statement 2: The
The triangle has as its base a vertical line of length 7, so the height of the triangle would be the perpendicular - which in this case is horizontal - distance from that base. Since the base is part of the 
-axis, this distance is the absolute value of the 
-coordinate, which is ony given by Statement 1. Statement 2 is irrelevant.
This is illustrated by this diagram:
The triangle has as its base a vertical line of length 7, so the height of the triangle would be the perpendicular - which in this case is horizontal - distance from that base. Since the base is part of the
This is illustrated by this diagram:
Compare your answer with the correct one above
Note: Figure NOT drawn to scale.
What is the area of the above arrow?
Statement 1:
Statement 2:
Note: Figure NOT drawn to scale.
What is the area of the above arrow?
Statement 1:
Statement 2:
It can already be ascertained from the figure that , since the left portion is a rectangle, so Statement 2 is redundant.
We can already calculate the area of the rectangular portion of the arrow:
All this is left is to calculate the area of the triangular portion. If we know Statement 1, we can take half the product of the height, which is 13, and the base, which is :
Add these numbers to get the area of the arrow:
It can already be ascertained from the figure that
We can already calculate the area of the rectangular portion of the arrow:
All this is left is to calculate the area of the triangular portion. If we know Statement 1, we can take half the product of the height, which is 13, and the base, which is
Add these numbers to get the area of the arrow:
Compare your answer with the correct one above
What is the area of a triangle on the coordinate plane with two of its vertices at ?
Statement 1: The -coordinate of its third vertex is 6.
Statement 2: The -coordinate of its third vertex is 8.
What is the area of a triangle on the coordinate plane with two of its vertices at
Statement 1: The
Statement 2: The
The area of a triangle is half the product of its base and its height.
The triangle has as its base a horizontal line of length 10, so the height of the triangle would be the perpendicular - which in this case is vertical - distance from the third vertex to that base. Since the base is part of the -axis, this height is the absolute value of the -coordinate, which is only given by Statement 2. Statement 1 turns out to be irrelevant.
This is illustrated by this diagram:
The area of a triangle is half the product of its base and its height.
The triangle has as its base a horizontal line of length 10, so the height of the triangle would be the perpendicular - which in this case is vertical - distance from the third vertex to that base. Since the base is part of the
This is illustrated by this diagram:
Compare your answer with the correct one above
Two of the vertices of a triangle on the coordinate plane are . What is its area?
Statement 1: The -coordinate of the third vertex is 8.
Statement 2: The -coordinate of the third vertex is 5.
Two of the vertices of a triangle on the coordinate plane are
Statement 1: The
Statement 2: The
The triangle has as its base a vertical line of length 7, so the height of the triangle would be the perpendicular - which in this case is horizontal - distance from that base. Since the base is part of the -axis, this distance is the absolute value of the -coordinate, which is ony given by Statement 1. Statement 2 is irrelevant.
This is illustrated by this diagram:
The triangle has as its base a vertical line of length 7, so the height of the triangle would be the perpendicular - which in this case is horizontal - distance from that base. Since the base is part of the
This is illustrated by this diagram:
Compare your answer with the correct one above
Note: Figure NOT drawn to scale.
What is the area of the above arrow?
Statement 1:
Statement 2:
Note: Figure NOT drawn to scale.
What is the area of the above arrow?
Statement 1:
Statement 2:
It can already be ascertained from the figure that , since the left portion is a rectangle, so Statement 2 is redundant.
We can already calculate the area of the rectangular portion of the arrow:
All this is left is to calculate the area of the triangular portion. If we know Statement 1, we can take half the product of the height, which is 13, and the base, which is :
Add these numbers to get the area of the arrow:
It can already be ascertained from the figure that
We can already calculate the area of the rectangular portion of the arrow:
All this is left is to calculate the area of the triangular portion. If we know Statement 1, we can take half the product of the height, which is 13, and the base, which is
Add these numbers to get the area of the arrow:
Compare your answer with the correct one above
What is the area of a triangle on the coordinate plane with two of its vertices at ?
Statement 1: The -coordinate of its third vertex is 6.
Statement 2: The -coordinate of its third vertex is 8.
What is the area of a triangle on the coordinate plane with two of its vertices at
Statement 1: The
Statement 2: The
The area of a triangle is half the product of its base and its height.
The triangle has as its base a horizontal line of length 10, so the height of the triangle would be the perpendicular - which in this case is vertical - distance from the third vertex to that base. Since the base is part of the -axis, this height is the absolute value of the -coordinate, which is only given by Statement 2. Statement 1 turns out to be irrelevant.
This is illustrated by this diagram:
The area of a triangle is half the product of its base and its height.
The triangle has as its base a horizontal line of length 10, so the height of the triangle would be the perpendicular - which in this case is vertical - distance from the third vertex to that base. Since the base is part of the
This is illustrated by this diagram:
Compare your answer with the correct one above
Two of the vertices of a triangle on the coordinate plane are . What is its area?
Statement 1: The -coordinate of the third vertex is 8.
Statement 2: The -coordinate of the third vertex is 5.
Two of the vertices of a triangle on the coordinate plane are
Statement 1: The
Statement 2: The
The triangle has as its base a vertical line of length 7, so the height of the triangle would be the perpendicular - which in this case is horizontal - distance from that base. Since the base is part of the -axis, this distance is the absolute value of the -coordinate, which is ony given by Statement 1. Statement 2 is irrelevant.
This is illustrated by this diagram:
The triangle has as its base a vertical line of length 7, so the height of the triangle would be the perpendicular - which in this case is horizontal - distance from that base. Since the base is part of the
This is illustrated by this diagram:
Compare your answer with the correct one above
Note: Figure NOT drawn to scale.
What is the area of the above arrow?
Statement 1:
Statement 2:
Note: Figure NOT drawn to scale.
What is the area of the above arrow?
Statement 1:
Statement 2:
It can already be ascertained from the figure that , since the left portion is a rectangle, so Statement 2 is redundant.
We can already calculate the area of the rectangular portion of the arrow:
All this is left is to calculate the area of the triangular portion. If we know Statement 1, we can take half the product of the height, which is 13, and the base, which is :
Add these numbers to get the area of the arrow:
It can already be ascertained from the figure that
We can already calculate the area of the rectangular portion of the arrow:
All this is left is to calculate the area of the triangular portion. If we know Statement 1, we can take half the product of the height, which is 13, and the base, which is
Add these numbers to get the area of the arrow:
Compare your answer with the correct one above
What is the area of a triangle on the coordinate plane with two of its vertices at ?
Statement 1: The -coordinate of its third vertex is 6.
Statement 2: The -coordinate of its third vertex is 8.
What is the area of a triangle on the coordinate plane with two of its vertices at
Statement 1: The
Statement 2: The
The area of a triangle is half the product of its base and its height.
The triangle has as its base a horizontal line of length 10, so the height of the triangle would be the perpendicular - which in this case is vertical - distance from the third vertex to that base. Since the base is part of the -axis, this height is the absolute value of the -coordinate, which is only given by Statement 2. Statement 1 turns out to be irrelevant.
This is illustrated by this diagram:
The area of a triangle is half the product of its base and its height.
The triangle has as its base a horizontal line of length 10, so the height of the triangle would be the perpendicular - which in this case is vertical - distance from the third vertex to that base. Since the base is part of the
This is illustrated by this diagram:
Compare your answer with the correct one above
Two of the vertices of a triangle on the coordinate plane are . What is its area?
Statement 1: The -coordinate of the third vertex is 8.
Statement 2: The -coordinate of the third vertex is 5.
Two of the vertices of a triangle on the coordinate plane are
Statement 1: The
Statement 2: The
The triangle has as its base a vertical line of length 7, so the height of the triangle would be the perpendicular - which in this case is horizontal - distance from that base. Since the base is part of the -axis, this distance is the absolute value of the -coordinate, which is ony given by Statement 1. Statement 2 is irrelevant.
This is illustrated by this diagram:
The triangle has as its base a vertical line of length 7, so the height of the triangle would be the perpendicular - which in this case is horizontal - distance from that base. Since the base is part of the
This is illustrated by this diagram:
Compare your answer with the correct one above
Note: Figure NOT drawn to scale.
What is the area of the above arrow?
Statement 1:
Statement 2:
Note: Figure NOT drawn to scale.
What is the area of the above arrow?
Statement 1:
Statement 2:
It can already be ascertained from the figure that , since the left portion is a rectangle, so Statement 2 is redundant.
We can already calculate the area of the rectangular portion of the arrow:
All this is left is to calculate the area of the triangular portion. If we know Statement 1, we can take half the product of the height, which is 13, and the base, which is :
Add these numbers to get the area of the arrow:
It can already be ascertained from the figure that
We can already calculate the area of the rectangular portion of the arrow:
All this is left is to calculate the area of the triangular portion. If we know Statement 1, we can take half the product of the height, which is 13, and the base, which is
Add these numbers to get the area of the arrow:
Compare your answer with the correct one above
What is the area of a triangle on the coordinate plane with two of its vertices at ?
Statement 1: The -coordinate of its third vertex is 6.
Statement 2: The -coordinate of its third vertex is 8.
What is the area of a triangle on the coordinate plane with two of its vertices at
Statement 1: The
Statement 2: The
The area of a triangle is half the product of its base and its height.
The triangle has as its base a horizontal line of length 10, so the height of the triangle would be the perpendicular - which in this case is vertical - distance from the third vertex to that base. Since the base is part of the -axis, this height is the absolute value of the -coordinate, which is only given by Statement 2. Statement 1 turns out to be irrelevant.
This is illustrated by this diagram:
The area of a triangle is half the product of its base and its height.
The triangle has as its base a horizontal line of length 10, so the height of the triangle would be the perpendicular - which in this case is vertical - distance from the third vertex to that base. Since the base is part of the
This is illustrated by this diagram:
Compare your answer with the correct one above
Two of the vertices of a triangle on the coordinate plane are . What is its area?
Statement 1: The -coordinate of the third vertex is 8.
Statement 2: The -coordinate of the third vertex is 5.
Two of the vertices of a triangle on the coordinate plane are
Statement 1: The
Statement 2: The
The triangle has as its base a vertical line of length 7, so the height of the triangle would be the perpendicular - which in this case is horizontal - distance from that base. Since the base is part of the -axis, this distance is the absolute value of the -coordinate, which is ony given by Statement 1. Statement 2 is irrelevant.
This is illustrated by this diagram:
The triangle has as its base a vertical line of length 7, so the height of the triangle would be the perpendicular - which in this case is horizontal - distance from that base. Since the base is part of the
This is illustrated by this diagram:
Compare your answer with the correct one above
Note: Figure NOT drawn to scale.
What is the area of the above arrow?
Statement 1:
Statement 2:
Note: Figure NOT drawn to scale.
What is the area of the above arrow?
Statement 1:
Statement 2:
It can already be ascertained from the figure that , since the left portion is a rectangle, so Statement 2 is redundant.
We can already calculate the area of the rectangular portion of the arrow:
All this is left is to calculate the area of the triangular portion. If we know Statement 1, we can take half the product of the height, which is 13, and the base, which is :
Add these numbers to get the area of the arrow:
It can already be ascertained from the figure that
We can already calculate the area of the rectangular portion of the arrow:
All this is left is to calculate the area of the triangular portion. If we know Statement 1, we can take half the product of the height, which is 13, and the base, which is
Add these numbers to get the area of the arrow:
Compare your answer with the correct one above
What is the area of a triangle on the coordinate plane with two of its vertices at ?
Statement 1: The -coordinate of its third vertex is 6.
Statement 2: The -coordinate of its third vertex is 8.
What is the area of a triangle on the coordinate plane with two of its vertices at
Statement 1: The
Statement 2: The
The area of a triangle is half the product of its base and its height.
The triangle has as its base a horizontal line of length 10, so the height of the triangle would be the perpendicular - which in this case is vertical - distance from the third vertex to that base. Since the base is part of the -axis, this height is the absolute value of the -coordinate, which is only given by Statement 2. Statement 1 turns out to be irrelevant.
This is illustrated by this diagram:
The area of a triangle is half the product of its base and its height.
The triangle has as its base a horizontal line of length 10, so the height of the triangle would be the perpendicular - which in this case is vertical - distance from the third vertex to that base. Since the base is part of the
This is illustrated by this diagram:
Compare your answer with the correct one above
Two of the vertices of a triangle on the coordinate plane are . What is its area?
Statement 1: The -coordinate of the third vertex is 8.
Statement 2: The -coordinate of the third vertex is 5.
Two of the vertices of a triangle on the coordinate plane are
Statement 1: The
Statement 2: The
The triangle has as its base a vertical line of length 7, so the height of the triangle would be the perpendicular - which in this case is horizontal - distance from that base. Since the base is part of the -axis, this distance is the absolute value of the -coordinate, which is ony given by Statement 1. Statement 2 is irrelevant.
This is illustrated by this diagram:
The triangle has as its base a vertical line of length 7, so the height of the triangle would be the perpendicular - which in this case is horizontal - distance from that base. Since the base is part of the
This is illustrated by this diagram:
Compare your answer with the correct one above
Note: Figure NOT drawn to scale.
What is the area of the above arrow?
Statement 1:
Statement 2:
Note: Figure NOT drawn to scale.
What is the area of the above arrow?
Statement 1:
Statement 2:
It can already be ascertained from the figure that , since the left portion is a rectangle, so Statement 2 is redundant.
We can already calculate the area of the rectangular portion of the arrow:
All this is left is to calculate the area of the triangular portion. If we know Statement 1, we can take half the product of the height, which is 13, and the base, which is :
Add these numbers to get the area of the arrow:
It can already be ascertained from the figure that
We can already calculate the area of the rectangular portion of the arrow:
All this is left is to calculate the area of the triangular portion. If we know Statement 1, we can take half the product of the height, which is 13, and the base, which is
Add these numbers to get the area of the arrow:
Compare your answer with the correct one above
What is the area of a triangle on the coordinate plane with two of its vertices at ?
Statement 1: The -coordinate of its third vertex is 6.
Statement 2: The -coordinate of its third vertex is 8.
What is the area of a triangle on the coordinate plane with two of its vertices at
Statement 1: The
Statement 2: The
The area of a triangle is half the product of its base and its height.
The triangle has as its base a horizontal line of length 10, so the height of the triangle would be the perpendicular - which in this case is vertical - distance from the third vertex to that base. Since the base is part of the -axis, this height is the absolute value of the -coordinate, which is only given by Statement 2. Statement 1 turns out to be irrelevant.
This is illustrated by this diagram:
The area of a triangle is half the product of its base and its height.
The triangle has as its base a horizontal line of length 10, so the height of the triangle would be the perpendicular - which in this case is vertical - distance from the third vertex to that base. Since the base is part of the
This is illustrated by this diagram:
Compare your answer with the correct one above