All SSAT Upper Level Math Resources
Example Questions
Example Question #1 : How To Find The Height Of A Right Triangle
If the hypotenuse of a right triangle is 20, and one of the legs is 12, what is the value of the other leg?
The triangle in this problem is a variation of the 3, 4, 5 right triangle. However, it is 4 times bigger. We know this because (the length of the hypotenuse) and (the length of one of the legs).
Therefore, the length of the other leg will be equal to:
Example Question #33 : Properties Of Triangles
A given right triangle has a base of length and a total area of . What is the height of the right triangle?
Not enough information provided
For a given right triangle with base and height , the area can be defined by the formula . If one leg of the right triangle is taken as the base, then the other leg is the height.
Therefore, to find the height , we restructure the formula for the area as follows:
Plugging in our values for and :
Example Question #34 : Properties Of Triangles
A given right triangle has a base length of and a total area of . What is the height of the triangle?
Not enough information provided
For a given right triangle with base and height , the area can be defined by the formula . If one leg of the right triangle is taken as the base, then the other leg is the height.
Therefore, to find the height , we restructure the formula for the area as follows:
Plugging in our values for and :
Example Question #1 : How To Find The Height Of A Right Triangle
A given right triangle has a hypotenuse of and a total area of . What is the height of the triangle?
Not enough information provided
Not enough information provided
For a given right triangle with base and height , the area can be defined by the formula . If one leg of the right triangle is taken as the base, then the other leg is the height.
However, we have not been given a base or leg length for the right triangle, only the length of the hypotenuse and the area. We therefore do not have enough information to solve for the height .
Example Question #3 : How To Find The Height Of A Right Triangle
The area of a right triangle is . If the base of the triangle is , what is the height, in meters?
To find the height, plug what is given in the question into the formula used to find the area of a triangle.
Use the information given in the question:
Now, solve for the height.
Example Question #37 : Properties Of Triangles
The area of a right triangle is , and the base is . What is the height, in meters?
To find the height, plug what is given in the question into the formula used to find the area of a triangle.
Use the information given in the question:
Now, solve for the height.
Example Question #38 : Properties Of Triangles
The area of a right triangle is . If the base of the triangle is , what is the length of the height, in inches?
To find the height, plug what is given in the question into the formula used to find the area of a triangle.
Use the information given in the question:
Now, solve for the height.
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