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To prove a given triangle as a right triangle, we can confirm it with the help of the Pythagorean Theorem.

If ABC is a right triangle, then the longest side AC will be the hypotenuse.

According to the theorem: AB

AB

Similarly, AC

An isosceles right triangle has the legs of the triangle equal to each other and the angles opposite to the equal sides are equal to each other.

Let the equal angles be= x° and one of the angle is = 90°

Sum of angles in a triangle= 180°==> x°+ x°+ 90°= 180°.

This gives: 2x°=180°= 90°==> 2x°= 90°.

This implies: x°= 90°/2= 45°.