Question

A triangle has side lengths of 5, 12, and 13 units. Fill in theblanks below.

Answer 1

The triangle is a right triangle because

$5^2+12^2=13^2$

These lenghts form a Pythagorean triple. The approximate measure of the smaller angle is

$\arcsin (\frac{5}{13})\text{ }\approx22.62^{\circ}$