Suppose someone tells you that she has a triangle with sides having lengths 2.6, 8.1 and 8.6 is this a right triangle? why or why not? is there an angle in the triangle larger than 90?

Question

Mathematics

Allen Gregory

6 December, 16:37

Suppose someone tells you that she has a triangle with sides having lengths 2.6, 8.1 and 8.6 is this a right triangle? why or why not? is there an angle in the triangle larger than 90?

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Answers (1)

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Ariel Rivers · Answer 1

By the converse of the Pythagorean Theorem, if 8.6 ^2 = 8.1 ^2 + 2.6 ^2, then the triangle is right. 73.96 is not equal to 72.37 so the triangle is not a right triangle.

8.6^2 is greater than (8.1^2 + 2.6^2) which means that the triangle is obtuse.

The obtuse angle is opposite the 8.6 side.