Q. 4 4.4( 83 Votes )

ABC is an isosceles triangle right angled at C. Prove that

Answer :

To Prove: 2 AC2 = AB2

Given: ΔABC is an isosceles triangle


AC = CB ( Two sides of an isosceles triangle are equal, as the side opposite to right angle is largest, rest of the two sides are equal)

Pythagoras Theorem:  It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Using Pythagoras theorem in ΔABC (i.e., right-angled at point C), we get

AC2 + CB2 = AB2

AC2 + AC2 = AB2   (AC = CB)


2AC2 = AB2

Hence, Proved.

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