if triangle D E F has sides measuring 50, 40, and 32, is the triangle a right triangle? If it is a right triangle, answer with the number 90. If it is not a right triangle, answer with the number 0.(1 point)

Answer 1

To determine if triangle DEF is a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, let's label the sides as follows: side DE = 50, side EF = 40, and side FD = 32.

To check if it is a right triangle, we can see if the Pythagorean theorem holds true:

DE² = EF² + FD²

50² = 40² + 32²

2500 ≠ 1600 + 1024

2500 ≠ 2624

Since the equation is not true, triangle DEF is not a right triangle. Therefore, the answer is 0.