A triangle has sides with lengths of 72 millimeters, 75 millimeters, and 21 millimeters. Is it a right triangle?
yes
no
Is it a right triangle?
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A triangle has sides with lengths of 72 millimeters, 75 millimeters, and 21 millimeters. Is it a right triangle?
yes
no
No, it is not a right triangle.
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 other two sides.
In this case, the longest side is 75 mm. We check:
75² = 72² + 21²
5625 ≠ 5184 + 441
5625 ≠ 5625 (this seems equal, but combining the two gives 5625 which checks out)
So the triangle with sides 72 mm, 75 mm, and 21 mm actually meets the criteria of Pythagorean theorem which means it can be identified as a right triangle. Would you like to explore another question or topic?