Question

in given figure triangle ABC is right angled at C and ab^2 =2AC^2 prove that triangle ABC is an isosceles triangle

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Answer 1

Step-by-step explanation:

Given ABC is right-angled at C

and ab^2 =2ac^2 ------------------ 1

by Pythagoras theorem

we know

ab^2 = ac^2 + bc^2 ----------------- 2

from 1 and 2 equations

2ac^2 = ac^2 + bc^2

ac^2 = bc^2

ac = bc

therefore its an isosceles triangle as two sides are equal

Answer 2

Here is the answer.

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