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Question
Using the Converse of the Pythagorean Theorem, explain whether a triangle with sides 15, 10, and 12 is a right triangle.(1 point)
Responses
A. No, because 244 is not equal to 225.
A. No, because 244 is not equal to 225.
B. No, because 325 is not equal to 144.
B. No, because 325 is not equal to 144.
C. No, because 369 is not equal to 100.
C. No, because 369 is not equal to 100.
D. No, because 22 is not equal to 15.
D. No, because 22 is not equal to 15.
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The correct response is:
C. No, because 369 is not equal to 100.
The Converse of the Pythagorean Theorem states that if the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle. In this case, since 15^2 + 10^2 = 225 + 100 = 325 which is not equal to 12^2 = 144, the triangle with sides 15, 10, and 12 is not a right triangle.