Question

ABC is an isoscles traingle right angled at C prove that AB^2=2AC^2​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Given :

ABC is right triangle

Also ABC is isosceles

To prove :

AB^2=2AC^2

Proof :

Here

Hypotenuse = AB

Also we know that triangle ABC is isosceles

Hence AC = BC ( isosceles triangle has two side equal)

Using pythagoras theorem in triangle ABC

H^2= H^+B^2

AB^2=AC^2+BC^2

AB^2=AC^2+AC^2 ( AC=BC)

AB^2=2AC^2

Hence proved