A triangle has sides with lengths of 5 meters, 9 meters, and 13 meters. Is it a right triangle?

Question

asked Feb 16, 2021 29.9k views

1 Answer

Sandeepsure · Answer 1 · 2021-02-23T00:00:42+0000

Answer:

No.

Explanation:

It is a right triangle if it satisfies the Pythagorean theorem.

The theorem states that:
a^2 + b^2 = c^2

We have:

$a = 5\\b=9\\c=13$

Therefore:

$a^2=25\\b^2=81\\c^2=169$

And we can see that
$25+81\\eq 169$

Therefore it is not a right triangle.