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.

Answer 1

To determine whether or not a triangle is a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

In this case, let's label the sides of triangle DEF as follows:
DE = 50
EF = 40
FD = 32

Using the Pythagorean theorem:
DE² = EF² + FD²

Substituting the values:
50² = 40² + 32²
2500 = 1600 + 1024
2500 = 2624

Since 2500 is not equal to 2624, the equation is not balanced, and the triangle DEF is not a right triangle. Hence, the answer is 0.