A triangle has sides with lengths of 50 millimeters, 32 millimeters, and 41 millimeters. Is it a right triangle?
yes
no
Is the triangle a right triangle?
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A triangle has sides with lengths of 50 millimeters, 32 millimeters, and 41 millimeters. Is it a right triangle?
yes
no
To determine if 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 (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
Here, the sides of the triangle are 50 mm, 41 mm, and 32 mm. The longest side is 50 mm.
Now, we check if:
(50^2 = 41^2 + 32^2)
Calculating the squares:
– (50^2 = 2500)
– (41^2 = 1681)
– (32^2 = 1024)
Now add the squares of the two shorter sides:
(41^2 + 32^2 = 1681 + 1024 = 2705)
Since (2500 neq 2705), the triangle does not satisfy the Pythagorean theorem.
Therefore, the answer is no, it is not a right triangle.