Right Triangles

Practice Questions

GMAT Quantitative Reasoning › Right Triangles

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1

In the above figure, triangle SPQ, SPR and PRQ are right triangles. Given the lengths of SP and PQ are 2cm. What is the area of triangle SPR?

2

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Triangle is a right triangle with . What is the length of its height ?

3

A right triangle has a height of and a base of . In order for another triangle to be congruent, what must be the length of its hypotenuse?

4

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Triangle is a right triangle with sides . What is the size of the height ?

5

Which of the following right triangles is similar to one with a height of and a base of ?

6

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Triangle is a right triangle, with . What is the size of angle ?

7

A right triangle has a base of 4 and a height of 3. What is the perimeter of the triangle?

8

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is a right isosceles triangle, with height . , what is the length of the height ?

9

Of the two acute angles of a right triangle, one measures fifteen degrees less than twice the other. What is the measure of the smaller of the two angles?

10

A right triangle has legs of length feet and and feet. Give the perimeter of this triangle in yards.

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