Right Triangles

Practice Questions

ISEE Upper Level (grades 9-12) Quantitative Reasoning › Right Triangles

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1

and are right triangles, with right angles , respectively.

Which is the greater quantity?

(a) The perimeter of

(b) The perimeter of

2

A hexagon has six angles with measures

Which quantity is greater?

(a)

(b) 240

3

One side of a regular pentagon is 20% longer than one side of a regular hexagon. Which is the greater quantity?

(A) The perimeter of the pentagon

(B) The perimeter of the hexagon

4

and are right triangles, with right angles , respectively. and .

Which is the greater quantity?

(a)

(b)

5

One side of a regular hexagon is 20% shorter than one side of a regular pentagon. Which is the greater quantity?

(A) The perimeter of the pentagon

(B) The perimeter of the hexagon

6

and are right triangles, with right angles , respectively. and .

Which is the greater quantity?

(a)

(b)

7

and are right triangles, with right angles , respectively.

Which is the greater quantity?

(a) The perimeter of

(b) The perimeter of

8

The sum of the lengths of three sides of a regular pentagon is one foot. Give the perimeter of the pentagon in inches.

9

The lengths of the hypotenuses of ten similar right triangles form an arithmetic sequence. The smallest triangle has legs of lengths 5 and 12 inches; the second-smallest triangle has a hypotenuse of length one and one half feet.

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

10

In a certain quadrilateral, three of the angles are , , and . What is the measure of the fourth angle?

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