Question

Using the Converse of the Pythagorean Theorem, explain whether a triangle with sides 15, 10, and 12 is a right triangle.
A. No, because 22 is not equal to 15.
B. No, because 244 is not equal to 225.
C. No, because 369 is not equal to 100.
D. No, because 325 is not equal to 144.

Answer 1

B. No, because 244 is not equal to 225.

Reason: The largest side is 15, so check 10^2 + 12^2 = 100 + 144 = 244, which does not equal 15^2 = 225. Therefore the triangle is not right.