#### Answer

Obtuse Triangle

#### Work Step by Step

Using the Pythagorean Theorem...
$a^{2}+b^{2}=c^{2}$
$10^{2}+12^{2}=16^{2}$
Simplify...
$100+144=256$
$244\ne256$
Since the sum of the sides squared $(244)$ is less than the hypotenuse squared $(256)$, the triangle is an obtuse triangle.