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
To determine if triangle DEF is a right triangle, we can apply the Pythagorean theorem. According to the theorem, in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
Using the given side lengths, let's determine if the Pythagorean theorem holds true:
(32^2) + (40^2) = 1024 + 1600 = 2624
(50^2) = 2500
Since 2624 is not equal to 2500, triangle DEF is not a right triangle.
Answer: 0