Question

in an isosclese triangle ABC, if ac=bc and AB square = 2AC square then finc c

Answer 1

Given: AC = BC

          ABC is an isoceles triangle

         AB2 = 2 AC2

To prove: ABC is a right triangle

Proof: For ABC to be a right triangle, it should satify pythagoras theorem

i.e AB2 = AC2 + BC2

Now, AC = BC   (given)

On substitution, we find

AB2 = 2 AC2, which is true according to the question.

So, the given sides form pythorian triplets.

Hence ABC to be a right triangle right angled at C.