Question

Is an isosceles right triangle always a 45-45-90 triangle?

Answer 1

YES - an isosceles right triangle always a `45^o-45^o-90^o` triangle.

Explanation:

As it is a right angled triangle, one angle is `90^o`.

Hence sum of other two angles is `180^o-90^o=90^o`

As these two angles are equal (the triangle being isoceles), each of the angle is `90^o/2=45^o`.

Hence, an isosceles right triangle always a `45^o-45^o-90^o` triangle.