Using the Converse of the Pythagorean Theorem, explain whether a triangle with sides 15, 10 and

12 is a right triangle (1 point)

O No, because 244 is not equal to 225

No, because 22 is not equal to 15.

No, because 325 is not equal to 144.

No, because 369 is not equal to 100.

1 answer

The correct answer is:

No, because 325 is not equal to 144.

If a triangle satisfies the condition a^2 + b^2 = c^2 (where a, b, and c are the lengths of the sides of the triangle), then it is a right triangle. In this case, the lengths of the sides are given as 15, 10, and 12.

If we substitute these values into the equation, we get:

15^2 + 10^2 = 12^2
225 + 100 = 144
325 ≠ 144

Since the equation is not satisfied, the triangle is not a right triangle.