Question

Michael drew a triangle with the sides measuring 12.5 centimeters, 30 centimeters, and 32.5 centimeters. Using the Pythagorean theorem, determine if Michael’s triangle is a right triangle. On the lines below, explain how you determined your answer.

Answer 1

a2 +b2= c2.
12.5 (2) +30 (2) = 32.5 (2)
156.25+900=1056.25
1056.25=1056.25
hope this helped

Answer 2

Based on the Pythagorean theorem, 32.5² = 30² + 12.5², thus, Michael's triangle is a right triangle.

What is the Pythagorean Theorem?

The Pythagorean theorem states that the square of the longest side of a right triangle must be equal to the sum of the squares of the other two legs of the right triangle.

Thus, lets check:

32.5² = 30² + 12.5²

1,056.25 = 1,056.25 (TRUE)

Therefore, Michael's triangle is a right triangle.

Learn more about the right triangle on:

https://brainly.com/question/1248322

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