Exploring the Pythagorean Theorem

What is the length of the hypotenuse, x, if (20, 21, x) is a Pythagorean triple?

B) 29

What is the length of the hypotenuse, x, if (12, 35, x) is a Pythagorean triple?

B) 37

Which is a perfect square?

B) 81

Which real-world scenario involves a right triangle?

B) a triangular bike path with lengths of 5 miles, 12 miles, and 13 miles

Which is a perfect square?

C) 36

Which sets of side lengths represent Pythagorean triples? Check all that apply.

C) 8,15,17 D) 10,24,26 F) 28,45,53

Which set of side lengths is a Pythagorean triple?

C) 9, 40, 41

Ariel completed the work below to show that a triangle with side lengths of 9, 15, and 12 does not form a right triangle.

C) No, Ariel should have added 92 and 122 and compared that to 152.

Which set of side lengths forms a right triangle?

D) 15, 36, 39

Which statement explains why 49 is a perfect square?

D) 49 is equal to 7 times 7.