Question

ABC is isosceles triangle and √B =90 then show that AC2=2AB2

Answer 1

Heya !!

Given :- ABC is an isosceles ∆ and angle B = 90°.

To prove :- AC² = 2AB²

Proof :- Angle B = 90° (given)
So, hypotenuse = AC

Since, ABC is an isosceles ∆
So, AB = BC

By Pythagoras theorem,
AC² = AB² + BC²
=> AC² = AB² + AB² (as AC = BC)
=> AC² = 2AB²

Hence proved.

Answer 2

Step-by-step explanation:

ABC is isosceles triangle and √B =90 then show that AC2=2AB2

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