# The sides of a triangle measure 6 inches 8 inches, and 10 inches. The triangle has one 90° angle. What type of triangle is it?

Sep 14, 2016

It is a $r i g h t - {\angle}^{e d} \Delta$, as it has got one angle of measure ${90}^{\circ}$.

#### Explanation:

Even if it had not been mentioned that the $\Delta$ has one ${90}^{\circ} \angle$, we

can infer this fact from the given lengths of the sides.

Observe that, ${6}^{2} + {8}^{2} = {10}^{2}$; hence, by the converse of

Pythagoras' Theorem, the $\angle$ opp. to side with length $10 '$ is a

right-angle.

Enjoy Maths.!