Pythagorean Theorem

A 20-foot ladder leans against a house. The bottom of the ladder is 8

feet from the house. Approximately how far up the house does the

ladder reach?

• 14 feet

• 16 feet

• 18 feet

• 22 feet

A ladder that is 26 feet in length touches a house at a height of 24 feet

from the ground. How far from the house is the base of the ladder?

• 2 feet

• 10 feet

• 25 feet

• 35 feet

A 15-foot rope is tied 4 feet from the top of a tree. The rope is pulled

tight and anchored 9 feet from the base of the tree. How tall is the tree?

• 12 feet

• 16 feet

• 18 feet

• 20 feet

A 13-foot ladder is leaned against a 15-foot tall building. If the top of

the ladder is 3 feet from the top of the building, how far is the base of

the ladder from the building?

• 5 feet

• 7 feet

• 25 feet

• 56 feet

Mr. Kimura designed a right-triangular garden for his yard, as shown in the diagram. How long is the unmeasured side of his garden?

• 5 feet

• 6 Feet

The lengths of the legs of a right triangle are 8 yards and 15 yards. What is the length, in yards, of the third side of the triangle?

• 23

• 17

• 12.7

• 11.5

Niki is decorating a rectangular dining table for a party. The length of the table is 8 feet and the width is 6 feet. Niki put a ribbon diagonally across the table. What is the length of the ribbon, in feet?

• 2

• 4

• 10

• 14

The diagram shows where Camille, Anthony, and Bobby are standing. Camille is at Point C. Anthony is across the pond at Point A, and Bobby is at Point B.

What is the distance between Anthony and Bobby?

• 22 yards

• 26 yards

• 34 yards

• 68 yards

What is the length of the hypotenuse on the following right triangle?

What is the length of the hypotenuse in the right triangle below?

• less than 5 inches

• between 5 and 6 inches

• between 6 and 7 inches

• more than 7 inches