Question

in an isosceles triangle right triangle at c .prove 5hat AB square=2Acsquare

Answer 1

since right angle at C,

then

AB will be the hypotenuse

so now using Pythagoras theorem, we have

AB²=AC²+BC²,

AB²=AC²+AC²,. (since ∆ is isosceles so AC=BC)

hence

AB²=2AC²