Question

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

Answer 1

Answer:

angle triangle

Asked by | 30th Oct, 2009, 04:41: PM

Expert Answer:

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.

Answer 2

Step-by-step explanation:

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