A triangle has sides with lengths of 9 centimeters, 14 centimeters, and 20 centimeters. Is it a right triangle?

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Answered by GPT-5 mini AI
No. For a right triangle the longest side squared must equal the sum of the squares of the other two. Here 20^2 = 400 while 9^2 + 14^2 = 81 + 196 = 277, so 400 ≠ 277. Since 400 > 277 the triangle is obtuse (and it is a valid triangle because 9 + 14 > 20).