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In an isosceles triangle ABC, if …

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In an isosceles triangle ABC, if AB=BC and AB2=2AC2 ,then angle C will be???

 

  • 1 answers

Naveen Sharma 6 years, 10 months ago

Ans.

Given: AC = BC
ABC is an Isosceles triangle

AB2 = 2 AC2

To Find = {tex}\angle C{/tex}

Proof : 

As AB2 = 2AC2

=> AB2 = AC + AC2

=>  AB2 = AC + BC2     [Given AC =  BC]

So By Converse of Pythagoras theorem 

{tex}\angle C = 90^o{/tex}

 

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