# Why is the hypotenuse always longer than the legs?

##### 1 Answer

Dec 28, 2015

*Hypotenuse* is located opposite to a bigger angle (the right angle measured at *catheti*) are located opposite to smaller acute angles.

See details below.

#### Explanation:

In any triangle sides, opposite to congruent angles, are congruent.

A side, opposite to a bigger angle, is bigger than a side that lies opposite to a smaller angle.

For a proof of these statements I can refer you to Unizor, menu items *Geometry - Triangles - Sides & Angles*.

The largest angle in a right triangle is the right angle, therefore, opposite to it lies the longest side - hypotenuse.