Question

Triangle ABC is an isosceles triangle with angle A is equal to 90° show that BC square is equal to 2ABsquare​

Answer 1

Answer :

We have isosceles triangle ABC where ∠ B = 90° , So we get Hypotenuse = AC ( Longest side )

So,

AB = BC ( As triangle is isosceles ) ----- ( 1 )

Now we apply Pythagoras theorem in ABC and get

AC2 = AB2 + BC2 , Substitute value from equation 1 and get

AC2 = BC2 + BC2

AC2 = 2 AB2 ( Hence proved )

PLS MARK AS BRAINLIEST

Answer 2

We have isosceles triangle ABC where ∠ B = 90° , So we get Hypotenuse = AC ( Longest side )

So,

AB = BC ( As triangle is isosceles ) ----- ( 1 )

Now we apply Pythagoras theorem in ABC and get

AC2 = AB2 + BC2 , Substitute value from equation 1 and get

AC2 = BC2 + BC2

AC2 = 2 BC2

Hence proved

Hope its help uu!!!