Q. 73.5( 4 Votes )

Using the definition of similarity prove that all the isosceles right angled triangles are similar.

Answer :

Prove that all the isosceles right angled triangles are similar


According to these figures,


In ∆ABC, AB = BC and mB = 90


In ∆XYZ, XY = YZ and mY = 90 i.e. ∆ABC and ∆XYZ are isosceles right angled triangles.


To prove: ∆ABC and ∆XYZ are similar triangles.


Proof: ∆ABC and ∆XYZ are both isosceles right angled triangles in which mB = mY = 90


Also AB = BC and XY = YZ, then


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