Question

ABC is an isosceles triangle right angled at C prove that a b square is equal to 2 AC square
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Answer 1

consider a triangle ABC where angle c is 90° and AC = BC

BY PYTHAGORAS THEOREM WE HAVE

AC^2 + BC^2 = AB^2

AC^2 + AC^2 = AB^2

2AC^2 = AB^2

HENCE PROVED

Answer 2

Given Information:

• ABC is an isosceles right triangle, right angled at C.

To Prove:

• AB² = 2 AC²

Solution:

Since ∆ABC is a right angle,

Therefore,

AB² = AC² + BC² ❴Pythagoras Thermo❵

=> AB² = AC² + AC² [∴ BC = AC]

=> AB² = 2 AC²

Hence Proved :)