Question

Determine if the side lengths form a right triangle. If not, is the longest side too long or too short ? 1. 16,63,65

Answer 1

ANSWER

These three side lengths do form a right triangle.

EXPLANATION

If the side lengths satisfy the Pythagorean theorem, then they form a right triangle.

The hypotenuse is always the longest side:

$\begin{gathered} 65^2=16^2+63^2 \\ 4225=256+3969 \\ 4225=4225\text{ }\rightarrow\text{ true} \end{gathered}$

These side lengths satisfy the Pythagorean theorem, therefore they form a right triangle.