Calculating the length of the side of an equilateral triangle - GMAT Quantitative
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If an equilateral triangle has a perimeter of 
, what is the length of each side?
If an equilateral triangle has a perimeter of
An equilateral triangle has three equal sides; therefore, to find the length of each side, divide the perimeter by 
:
An equilateral triangle has three equal sides; therefore, to find the length of each side, divide the perimeter by
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If the area of an equilateral is 
, given a height of 
, what is the base of the triangle?
If the area of an equilateral is
We derive the equation of base of a triangle from the area of a triangle formula:
We derive the equation of base of a triangle from the area of a triangle formula:
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The height of an equilateral triangle 
is 
. What is the length of side 
?
The height of an equilateral triangle
Similarily, we can use the same formula for the height to find the length of the side of an equilateral triangle, which is given by
, where 
is the length of the height.
Therefore, the final answer is
.
Similarily, we can use the same formula for the height to find the length of the side of an equilateral triangle, which is given by
Therefore, the final answer is
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Equilateral triangle 
is inscribed in a circle with radius 
, what is the length of a side of the triangle?
Equilateral triangle
Since we are given the radius, we should be able to find the height of the equilateral triangle. Indeed, the center of the circle is at the intersections of the heights of the triangle, and is located 
away from the edge of a given height.
Therefore 5, the radius of the circle is 
of the height.
Therefore, the height must be 
.
From here, we can use the formula for the height of the equilateral triangle 
, where 
is the length of the height and 
is the length of a side of the equilateral triangle.
Therefore, 
, then 
is the final answer.
Since we are given the radius, we should be able to find the height of the equilateral triangle. Indeed, the center of the circle is at the intersections of the heights of the triangle, and is located
Therefore 5, the radius of the circle is
Therefore, the height must be
From here, we can use the formula for the height of the equilateral triangle
Therefore,
Compare your answer with the correct one above
If an equilateral triangle has a perimeter of , what is the length of each side?
If an equilateral triangle has a perimeter of
An equilateral triangle has three equal sides; therefore, to find the length of each side, divide the perimeter by :
An equilateral triangle has three equal sides; therefore, to find the length of each side, divide the perimeter by
Compare your answer with the correct one above
If the area of an equilateral is , given a height of , what is the base of the triangle?
If the area of an equilateral is
We derive the equation of base of a triangle from the area of a triangle formula:
We derive the equation of base of a triangle from the area of a triangle formula:
Compare your answer with the correct one above
The height of an equilateral triangle is . What is the length of side ?
The height of an equilateral triangle
Similarily, we can use the same formula for the height to find the length of the side of an equilateral triangle, which is given by
, where is the length of the height.
Therefore, the final answer is
.
Similarily, we can use the same formula for the height to find the length of the side of an equilateral triangle, which is given by
Therefore, the final answer is
Compare your answer with the correct one above
Equilateral triangle is inscribed in a circle with radius , what is the length of a side of the triangle?
Equilateral triangle
Since we are given the radius, we should be able to find the height of the equilateral triangle. Indeed, the center of the circle is at the intersections of the heights of the triangle, and is located away from the edge of a given height.
Therefore 5, the radius of the circle is of the height.
Therefore, the height must be .
From here, we can use the formula for the height of the equilateral triangle , where is the length of the height and is the length of a side of the equilateral triangle.
Therefore, , then is the final answer.
Since we are given the radius, we should be able to find the height of the equilateral triangle. Indeed, the center of the circle is at the intersections of the heights of the triangle, and is located
Therefore 5, the radius of the circle is
Therefore, the height must be
From here, we can use the formula for the height of the equilateral triangle
Therefore,
Compare your answer with the correct one above
If an equilateral triangle has a perimeter of , what is the length of each side?
If an equilateral triangle has a perimeter of
An equilateral triangle has three equal sides; therefore, to find the length of each side, divide the perimeter by :
An equilateral triangle has three equal sides; therefore, to find the length of each side, divide the perimeter by
Compare your answer with the correct one above
If the area of an equilateral is , given a height of , what is the base of the triangle?
If the area of an equilateral is
We derive the equation of base of a triangle from the area of a triangle formula:
We derive the equation of base of a triangle from the area of a triangle formula:
Compare your answer with the correct one above
The height of an equilateral triangle is . What is the length of side ?
The height of an equilateral triangle
Similarily, we can use the same formula for the height to find the length of the side of an equilateral triangle, which is given by
, where is the length of the height.
Therefore, the final answer is
.
Similarily, we can use the same formula for the height to find the length of the side of an equilateral triangle, which is given by
Therefore, the final answer is
Compare your answer with the correct one above
Equilateral triangle is inscribed in a circle with radius , what is the length of a side of the triangle?
Equilateral triangle
Since we are given the radius, we should be able to find the height of the equilateral triangle. Indeed, the center of the circle is at the intersections of the heights of the triangle, and is located away from the edge of a given height.
Therefore 5, the radius of the circle is of the height.
Therefore, the height must be .
From here, we can use the formula for the height of the equilateral triangle , where is the length of the height and is the length of a side of the equilateral triangle.
Therefore, , then is the final answer.
Since we are given the radius, we should be able to find the height of the equilateral triangle. Indeed, the center of the circle is at the intersections of the heights of the triangle, and is located
Therefore 5, the radius of the circle is
Therefore, the height must be
From here, we can use the formula for the height of the equilateral triangle
Therefore,
Compare your answer with the correct one above
If an equilateral triangle has a perimeter of , what is the length of each side?
If an equilateral triangle has a perimeter of
An equilateral triangle has three equal sides; therefore, to find the length of each side, divide the perimeter by :
An equilateral triangle has three equal sides; therefore, to find the length of each side, divide the perimeter by
Compare your answer with the correct one above
If the area of an equilateral is , given a height of , what is the base of the triangle?
If the area of an equilateral is
We derive the equation of base of a triangle from the area of a triangle formula:
We derive the equation of base of a triangle from the area of a triangle formula:
Compare your answer with the correct one above
The height of an equilateral triangle is . What is the length of side ?
The height of an equilateral triangle
Similarily, we can use the same formula for the height to find the length of the side of an equilateral triangle, which is given by
, where is the length of the height.
Therefore, the final answer is
.
Similarily, we can use the same formula for the height to find the length of the side of an equilateral triangle, which is given by
Therefore, the final answer is
Compare your answer with the correct one above
Equilateral triangle is inscribed in a circle with radius , what is the length of a side of the triangle?
Equilateral triangle
Since we are given the radius, we should be able to find the height of the equilateral triangle. Indeed, the center of the circle is at the intersections of the heights of the triangle, and is located away from the edge of a given height.
Therefore 5, the radius of the circle is of the height.
Therefore, the height must be .
From here, we can use the formula for the height of the equilateral triangle , where is the length of the height and is the length of a side of the equilateral triangle.
Therefore, , then is the final answer.
Since we are given the radius, we should be able to find the height of the equilateral triangle. Indeed, the center of the circle is at the intersections of the heights of the triangle, and is located
Therefore 5, the radius of the circle is
Therefore, the height must be
From here, we can use the formula for the height of the equilateral triangle
Therefore,
Compare your answer with the correct one above
If an equilateral triangle has a perimeter of , what is the length of each side?
If an equilateral triangle has a perimeter of
An equilateral triangle has three equal sides; therefore, to find the length of each side, divide the perimeter by :
An equilateral triangle has three equal sides; therefore, to find the length of each side, divide the perimeter by
Compare your answer with the correct one above
If the area of an equilateral is , given a height of , what is the base of the triangle?
If the area of an equilateral is
We derive the equation of base of a triangle from the area of a triangle formula:
We derive the equation of base of a triangle from the area of a triangle formula:
Compare your answer with the correct one above
The height of an equilateral triangle is . What is the length of side ?
The height of an equilateral triangle
Similarily, we can use the same formula for the height to find the length of the side of an equilateral triangle, which is given by
, where is the length of the height.
Therefore, the final answer is
.
Similarily, we can use the same formula for the height to find the length of the side of an equilateral triangle, which is given by
Therefore, the final answer is
Compare your answer with the correct one above
Equilateral triangle is inscribed in a circle with radius , what is the length of a side of the triangle?
Equilateral triangle
Since we are given the radius, we should be able to find the height of the equilateral triangle. Indeed, the center of the circle is at the intersections of the heights of the triangle, and is located away from the edge of a given height.
Therefore 5, the radius of the circle is of the height.
Therefore, the height must be .
From here, we can use the formula for the height of the equilateral triangle , where is the length of the height and is the length of a side of the equilateral triangle.
Therefore, , then is the final answer.
Since we are given the radius, we should be able to find the height of the equilateral triangle. Indeed, the center of the circle is at the intersections of the heights of the triangle, and is located
Therefore 5, the radius of the circle is
Therefore, the height must be
From here, we can use the formula for the height of the equilateral triangle
Therefore,
Compare your answer with the correct one above