Question

If triangle DEF 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

Are you sure the answer is 0? :)

Answer 2

To determine if the triangle is a right triangle, we can use the Pythagorean theorem. According to the theorem, in a right triangle, the square of the length of the longest side (hypotenuse) is equal to the sum of the squares of the other two sides.

In this case, the longest side has a length of 50.
The other two sides have lengths of 40 and 32.

Using the Pythagorean theorem:

50^2 = 40^2 + 32^2
2500 = 1600 + 1024
2500 ≠ 2624

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