# Why are isosceles right triangles similar?

##### 1 Answer

Jan 7, 2016

Because all their angles are, correspondingly, congruent.

#### Explanation:

We are talking about right triangles with equal in length two catheti.

One angle, across the hypotenuse, is

So, any right isosceles triangle has angles

According to one of theorems of similarity, two triangles are similar if two angles of one correspondingly equal to two angles of another.