How to find the length of the side of a right triangle

Practice Questions

ISEE Upper Level (grades 9-12) Quantitative Reasoning › How to find the length of the side of a right triangle

Questions
7
1

Consider a triangle, , in which , , and . Which is the greater quantity?

(a) 55

(b)

2

Right triangle 5

Figure NOT drawn to scale.

Refer to the above triangle. Which is the greater quantity?

(a)

(b) 108

3

Triangle

Give the length of one leg of an isosceles right triangle whose area is the same as the right triangle in the above diagram.

4

Right_triangle

The perimeter of a regular octagon is 20% greater than that of the above right triangle. Which is the greater quantity?

(A) The length of one side of the octagon

(B) 3 yards

5

Given with right angle ,

Which is the greater quantity?

(a)

(b)

6

Right_triangle

Refer to the above right triangle. Which of the following is equal to ?

7

Right_triangle

The area of a square is equal to that of the above right triangle. Which is the greater quantity?

(A) The sidelength of the square

(B) 4 yards

Return to subject