Pythagorean Problems

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

• 17 miles

• 32 miles

• 37 miles

• 40 miles

How far from the base of a house do you need to place a 15' ladder so that is exactly reaches the top of a 12' wall?

• 9 feet

• 19.2 feet

• 81 feet

• 369 feet

The top of a ladder is leaning against a vertical wall, 12 feet above the floor. The bottom of the ladder is resting on the floor, 9 feet from the base of the wall. How long is the ladder?

• 15 feet

• 17 feet

• 19 feet

• 21 feet

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

• 25 feet

• 26 feet

• 27 feet

• 28 feet

Find the value of x.

Mathematical Equivalence

ON

Find the length of the missing side. 

• 48 in.

• 52 in.

• 16 in.

• 24 in.

Solve for the length indicated.

• 9

• 10

• 11

• 12

Find the missing length indicated. Leave your answer in simplest radical form.

• 64

• 12

• 9

• 100

Solve for the length indicated.

• 1

• 2

• 3

• 4

Find the value of x. Round your answer to the nearest tenth.

Mathematical Equivalence

ON