182k views
4 votes
A triangle has side lengths of 16, 63, and 68. Is it a right triangle? Need an explanation please.

A triangle has side lengths of 16, 63, and 68. Is it a right triangle? Need an explanation-example-1
User Asdru
by
5.4k points

1 Answer

3 votes

Answer:

No, this particular triangle is not a right triangle. See my reasoning, below:

Explanation:

We must determine whether the Pythagorean Theorem is satisfied here. Does the sum of the squares of the shorter two sides equal the square of the longest side? Symbolically, does 16^2 + 63^ = 68^2? Does 256 + 3969 = 4624? No.


User Jotik
by
6.1k points