Converse to the Pythagorean Theorem

Question 1

Given a triangle with side lengths of a, b, and c, where c is the longest side, which statement is true?

Revolt · Accepted Answer

If a2 + b2 =c2, then the triangle is a right triangle.

Question 2

What is the sum of the squares of the two shorter sides?

Revolt · Accepted Answer

80

Question 3

Is the triangle a right triangle?

Revolt · Accepted Answer

Yes, the square of the longest side equals the sum of the squares of the shorter sides.

Question 4

Is the triangle a right triangle?

Revolt · Accepted Answer

Yes, 92+402=412.

Question 5

Which of the following triangle lengths form right triangles? Select all that apply.

Revolt · Accepted Answer

(10, 24, 26); (12, 16, 20); (12, 35, 37)

Question 6

Does a triangle with side lengths 7, , and from a right triangle?Use the drop-down menus to answer the following questions.What is the square of the longest side?

Revolt · Accepted Answer

80

Question 7

Did Presley form a right triangle? Why?

Revolt · Accepted Answer

Yes, because

Converse to the Pythagorean Theorem Answers

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