is an isosceles triangle in which = 90° . If AC = 6 cm, then AB=

Question

Philoid · Accepted Answer

Given in an isosceles triangle ABC, ∠C = 90° and AC = 6 cm.

⇒ BC = AC = 6 cm

We know that the Pythagoras theorem state that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Now, in right triangle ABC,

⇒ AB² = AC² + BC²

= 6² + 6²

= 36 + 36

= 72

∴ AB = 6√2 cm