Question

ABC is an isosceles triangle right angled at C prove that
${ab}^{2} - 2ac {}^{2}$
​

Answer 1

Note:

Refer the attachment for the figure.

⭐Question:

ABC is an isosceles right angled triangle at point C. Then Prove that AB²-2AC.

⭐Given:

• ∆ABC is a isosceles right angled triangle.

• m<C=90°

⭐To Prove:

• AB²-2AC²

⭐Proof:

∆ABC is an isosceles right angled triangle and <C=90°. ............... (Given)

: . AC=BC............................................. (1)

THEN, According to the Pythagoras therom,

AB²=BC²+AC²

: . AB²=AC²+AC²......................... [ from (1) ]

: . AB²= 2AC²

: . AB²-2AC²

Hence, Proved!