A triangle has side lengths of 7 in., 9 in., and 11 in. Determine whether this is a right triangle and why.

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Patch

Mathematics

12 March, 16:57

A triangle has side lengths of 7 in., 9 in., and 11 in. Determine whether this is a right triangle and why.

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Answers (1)

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Grey · Answer 1

Not a right triangle. See below for my reasoning.

Step-by-step explanation:

If this is a right triangle, then the sum of the squares of the two shorter sides will equal the square of the longest side: 7^2 + 9^2 = 11^2 = > 49 + 81 = 121 But this is false.