All ISEE Middle Level Math Resources
Example Questions
Example Question #2041 : Hspt Mathematics
The three angles of a triangle are labeled ,
, and
. If
is
, what is the value of
?
Given that the three angles of a triangle always add up to 180 degrees, the following equation can be used:
Example Question #42 : Plane Geometry
In an equilateral triangle, which of the following is NOT true?
There is a 60 degree angle
All angles are equal
There is a 90 degree angle
All sides are equal
There is a 90 degree angle
In an equilateral triangle, all sides and angles are equal. All the angles equal 60 degrees, so there is a 60 degree angle.
Therefore, the answer choice, “There is a 90 degree angle” is not true and is the correct answer choice.
Example Question #51 : Geometry
The hypotenuse of a right triangle is feet; it has one leg
feet long. Give its area in square inches.
The area of a right triangle is half the product of the lengths of its legs, so we need to use the Pythagorean Theorem to find the length of the other leg. Set :
The legs have length and
feet; multiply both dimensions by
to convert to inches:
inches
inches.
Now find half the product:
Example Question #52 : Geometry
What is the area (in square feet) of a triangle with a base of feet and a height of
feet?
The area of a triangle is found by multiplying the base times the height, divided by .
Example Question #53 : Geometry
What is the area of a triangle with a base of and a height of
?
The formula for the area of a triangle is .
Plug the given values into the formula to solve:
Example Question #44 : Geometry
You have two traingular gardens next to each other. They both have a base of and a height of
. What is the total area?
The area of a triangle is
and since there are two identical traingles, them put together will just be
.
So your answer will just be .
Example Question #45 : Plane Geometry
The above figure depicts Square with perimeter 240.
,
, and
are the midpoints of
,
, and
, respectively.
Give the area of Polygon .
Square has perimeter 240, so the length of each side is one fourth of this, or
.
Segment , as seen below, divides Polygon
into two figures:
One figure is , with base and height 60 and 30, respectively. Its area is half their product, or
The other figure is Rect , whose length and width are 60 and 30, respectively. Its area is their product, or
Add these areas:
.
Example Question #11 : How To Find The Area Of A Triangle
Give the area of the above triangle.
The area of a right triangle is half the product of the lengths of its legs, which here are 25 and 60. So
Example Question #51 : Plane Geometry
Find the area of a triangle with a base of 10cm and a height that is half the base.
To find the area of a triangle, we will use the following formula:
Now, we know the base has a length of 10cm. We also know the height is half the base. Therefore, the height is 5cm. Knowing this, we can substitute into the formula. We get
Example Question #52 : Triangles
The roof of a skyscraper forms a right triangle with equal arms of length 50 meters. Find the area of the roof of the skyscraper.
The roof of a skyscraper forms a right triangle with equal arms of length 50 meters. Find the area of the roof of the skyscraper.
To find the area of a triangle, use the following:
Where b and h are the base and height.
In this case, we are told that the base and height are both 50 meters, thus, the perimeter will be:
So our answer is:
All ISEE Middle Level Math Resources
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