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)
To determine whether triangle DEF 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 hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the sides measure 32, 40, and 50. Let's check whether the theorem holds:
32^2 + 40^2 = 1024 + 1600 = 2624
50^2 = 2500
Since 2624 is not equal to 2500, the Pythagorean theorem does not hold for this triangle. Therefore, triangle DEF is not a right triangle.
Answer: 0