Question

Carson drew a triangle with side lengths of 9 in., 11 in., and 7 in. Is Carson's triangle a right triangle? Explain or show work to support your answer.

Answer 1

No. The square of the longest side must be equal to the sum of the squares of the smaller sides. But we have

9² + 7² = 81 + 49 = 140 ≠ 121 = 11²