Right Triangles

Practice Questions

SSAT Upper Level Quantitative (Math) › Right Triangles

Page 1 of 12
10 of 118
1

The lengths of the hypotenuses of ten similar right triangles form an arithmetic sequence. The smallest triangle has legs of lengths 3 and 4 inches; the second-smallest triangle has a hypotenuse of length one foot.

Which of the following responses comes closest to the area of the largest triangle?

2

Find the angle value of .

Picture1

3

The lengths of the hypotenuses of ten similar right triangles form an arithmetic sequence. The smallest triangle has legs of lengths 3 and 4 inches; the second-smallest triangle has a hypotenuse of length one foot.

Which of the following responses comes closest to the area of the largest triangle?

4

A given right triangle has two legs of lengths and , respectively. What is the area of the triangle?

5

The area of a right triangle is . If the base of the triangle is , what is the length of the height, in inches?

6

A right triangle has a hypotenuse of and one leg has a length of . What is the length of the other leg?

7

Find the angle value of .

Picture1

8

A right triangle has a hypotenuse of and one leg has a length of . What is the length of the other leg?

9

The area of a right triangle is . If the base of the triangle is , what is the length of the height, in inches?

10

A given right triangle has two legs of lengths and , respectively. What is the area of the triangle?

Page 1 of 12
Return to subject