Test
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 if triangle DEF 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 (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
The longest side of triangle DEF is 50. Let's check if it satisfies the Pythagorean theorem.
Sum of the squares of the other two sides:
40^2 + 32^2 = 1600 + 1024 = 2624
Square of the length of the hypotenuse:
50^2 = 2500
Since 2624 is not equal to 2500, triangle DEF is not a right triangle.
Answer: 0