Question

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.

Answer 1

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 hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Let's calculate the squares of the lengths of the sides:
Side DE: 50^2 = 2500
Side EF: 40^2 = 1600
Side FD: 32^2 = 1024

Now, let's check if the sum of the squares of the two shorter sides (1600 + 1024) is equal to the square of the longest side (2500).

1600 + 1024 = 2624

Since 2624 is not equal to 2500, it means that the given triangle D E F is not a right triangle.

Therefore, the answer is 0.