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 zero

Answer 1

To determine whether triangle DEF is a right triangle, we can use the Pythagorean theorem.

The Pythagorean theorem 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 lengths of the other two sides.

If triangle DEF is a right triangle, then we should have:

(Length of the hypotenuse)^2 = (Length of one side)^2 + (Length of the other side)^2

Let's check this condition using the given side lengths of triangle DEF:

(Length of the hypotenuse)^2 = 50^2 = 2500
(Length of one side)^2 + (Length of the other side)^2 = 40^2 + 32^2 = 1600 + 1024 = 2624

Since the two values do not match, we can conclude that triangle DEF is not a right triangle.

Therefore, the triangle DEF is not a right triangle, and the answer is zero.