To determine if 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.
Let's label the sides of triangle DEF as follows:
- Side DE is the longest side with a length of 50.
- Side DF has a length of 40.
- Side EF has a length of 32.
Now, we can check if the Pythagorean theorem holds true:
50^2 = 2500
40^2 + 32^2 = 1600 + 1024 = 2624
Since 2500 (50^2) is not equal to 2624 (40^2 + 32^2), we can conclude that triangle DEF is not a right triangle.
Therefore, the answer is 0.
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)
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1 answer