A triangle has sides with lengths of 45 kilometers, 62 kilometers, and 43 kilometers. Is it a right triangle?
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No. Take the largest side as the potential hypotenuse (62 km). Compute:
45^2 + 43^2 = 2025 + 1849 = 3874
62^2 = 3844
Since 3874 ≠ 3844, it is not a right triangle. Because 45^2 + 43^2 > 62^2, the triangle is acute.
45^2 + 43^2 = 2025 + 1849 = 3874
62^2 = 3844
Since 3874 ≠ 3844, it is not a right triangle. Because 45^2 + 43^2 > 62^2, the triangle is acute.
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