Acute / Obtuse Isosceles Triangles

Practice Questions

ISEE Upper Level (grades 9-12) Quantitative Reasoning › Acute / Obtuse Isosceles Triangles

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1

Trapezoid

Figure NOT drawn to scale.

In the above figure, is the midsegment of isosceles Trapezoid . Also, .

What is the perimeter of Trapezoid ?

2

A rectangle is two feet longer than it is wide; its perimeter is 11 feet. What is its area in square inches?

3

The area of a rectangle is 4,480 square inches. Its width is 70% of its length.

What is its perimeter?

4

Which quantity is greater?

(a) The perimeter of a square with area 10,000 square centimeters

(b) The perimeter of a rectangle with area 8,000 square centimeters

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

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

7

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

8

and are right triangles, with right angles , respectively.

Which is the greater quantity?

(a) The perimeter of

(b) The perimeter of

9

Right_triangle

Note: Figure NOT drawn to scale

Refer to the above triangle. Starting at point A, an insect walks clockwise along the sides of the triangle until he has walked 75% of the length of . What percent of the perimeter of the triangle has the insect walked?

10

Right_triangle

The length of a side of a regular octagon is one and a half times the hypotenuse of the above right triangle. Give the perimeter of the octagon in feet.

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