ABC is an isosceles triangle right angled at C. Prove that $AB^2 = 2AC^2$.

AcademicMathematicsNCERTClass 10

Given:

ABC is an isosceles triangle right angled at C.

To do: 

We have to prove that $AB^2 = 2AC^2$.

Solution:

In $∆ABC$, by Pythagoras theorem,

$AB^2= BC^2 + AC^2$

$AB^2 = AC^2 + AC^2$

$= 2AC^2$

Hence proved.

raja
Updated on 10-Oct-2022 13:21:26

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