Applications of Pythagorean Triples

Why is it not possible to make a right triangle using lengths of 10 feet, 60 feet, and 65 feet?

• 10 + 60 is greater than 65

• 65 - 60 does not equal 10

• 10² + 60² does not equal 65²

• (10 + 60)² does not equal 65²

Can a right triangle have sides of length
 6, 8, and 10?

• Yes. 6-8-10 is a triple

• No. 6-8-10 is not a triple

Can a right triangle have sides of length
 3, 4, and 5?

• Yes. 3-4-5 is a triple

• No. 3-4-5 is not a triple

Find x.

• 40

• 11

• 44

• 77

Find x.

• 45

• 20

• 60

• 30

_{^{Find the missing side}}

• 29.2

• 20

• 400

• 10

Can a right triangle have sides of length
 7, 24, and 25?

• Yes. 7-24-25 is a triple

• No. 7-24-25 is not a triple

Do the segment lengths 9, 12, and 15 form a right triangle?

• Yes

• No

• Maybe

• Pythagoras

Tell whether the triangle with the given side lengths is a right triangle. 
12 ft, 35 ft, 37 ft

• yes

• no

Determine if the following set of numbers are Pythagorean Triples.
15, 20, 25

• Yes

• No