Why are isosceles right triangles similar?

1 Answer
Zor Shekhtman
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 90^o. Two others must be equal since a triangle is isosceles, that is they are equal to 45^o each.

So, any right isosceles triangle has angles 90^o, 45^o and 45^o.
According to one of theorems of similarity, two triangles are similar if two angles of one correspondingly equal to two angles of another.

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