The Pythagorean Theorem

If a right triangle has legs of 7 and 24, what is the length of the hypotenuse?

• 24

• 23

• 25

• 26

Find the length of the missing side. 

• 25 cm

• 42 cm

• 52 cm

• 48 cm

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

Which of the following is a Pythagorean triple?

• 7, 8, 9

• 8, 9, 10

• 5, 6, 7

• 3, 4, 5

Given a = 6, b = 8, find c.

• 9

• 10

• 12

• 14

Given a = 5, c = 13, find b.

• 12

• 14

• 18

• 22

Is a triangle with side lengths of 8, 17, 15 a right triangle?

• Yes

• No

Mr. McShay is cleaning his gutters (very exciting!). The gutter is 10 feet up and he stands 5 feet away from his house. What is the smallest ladder he could use and still reach?

• 11.0 feet

• 11.2 feet

• 11.5 feet

• 13 feet

What is the relationship between the sides in the Pythagorean Theorem shown? Hint: Think about when the hypotenuse is missing!

• a + b = c

• a² + b² = c²

• a² – b² = c²

• a – b = c

The Pythagorean Theorem ONLY works on which triangle?

• obtuse

• scalene

• isosceles

• right