Exploring the Pythagorean Theorem

Question 1

Which numbers are perfect squares? Check all that apply.

Revolt · Accepted Answer

1; 16; 100

Question 2

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

Revolt · Accepted Answer

37

Question 3

Which is a perfect square?

Revolt · Accepted Answer

81

Question 4

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

Revolt · Accepted Answer

29

Question 5

Which real-world scenario involves a right triangle?

Revolt · Accepted Answer

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

Question 6

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

Revolt · Accepted Answer

8, 15, 17; 10, 24, 26; 28, 45, 53

Question 7

Which is a perfect square?

Revolt · Accepted Answer

36

Question 8

Nadia says the hypotenuse of this right triangle has a length of 73 because the Pythagorean theorem states that .Which best describes Nadia’s solution?

Revolt · Accepted Answer

She is incorrect because she should have squared each leg length and then found the sum.

Question 9

Which set of side lengths forms a right triangle?

Revolt · Accepted Answer

15, 36, 39

Question 10

Anja is creating a triangle using three straws. The two shorter straws have lengths of 20 cm and 21 cm. How long, in centimeters, should the third straw be for Anja to create a right triangle?

Revolt · Accepted Answer

29

Exploring the Pythagorean Theorem Answers

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