Pythagorean Theorem High School

Which set of side lengths form a right triangle?

• 3, 4, 7

• 33, 56, 65

• 66, 72, 97

• 10, 15, 25

Find the length of the missing side. 

• 20 in.

• 68 in.

• 16 in.

• 80 in.

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

To get from one side of the pond to the other you must walk 34 meters south and 41 meters east.  To the nearest meter, how many less meters would it take if it were possible to go directly across the pond.  

• 53

• 22

• 75

• 9

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? Which equation could be used to solve the problem?

Solve for the value of y

• 13

• 5

• 23

• 10

Find the length of the missing side.

• 25 cm

• 42 cm

• 52 cm

• 48 cm

Johnathan is painting the side of his home. He has a 25 foot ladder and leans the ladder against his house. The base of the ladder is five feet from the side of the house. How far up the house will the ladder reach?

• 24.5 ft

• 25.5 ft

• 26.5 ft

• 23.5 ft

Which equation will help you find the missing side?

Which of these is closest to the length of PQ?

• 10 units

• 13 units

• 9 units

• 12 units