Question

ABC is isosceles triangle right angled at C prove that a b square is equal to 2 AC square​

Answer 1

Given:Triangle ABC is right triangle .

Also triangle ABC is isosceles .

To Prove :AB square =2AC square .

Proof: Here,

Hypotenuse =AB

Also we know that triangle ABC is isosceles.

Hence AC=BC

Answer 2

Formula to be Apply for this Question

Pythagoras theorem

$\bf\huge AB^2 = AC^2 + BC^2$

According to the Question

Isosceles triangle ⇒  AC = BC  (Two sides always be Equal)

$\bf\huge AB^2 = AC^2 + AC^2$

$\bf\huge AB^2 = 2AC^2$

See attached Pic