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ABCiS an isosceles uhalglufigliABC is an isosceles triangle with AC- BC. If AB2 2 AC2, prove that ABC istriangle. |
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Answer» Given: AC = BC ABC is an isoceles triangle AB2= 2 AC2To prove: ABC is a right triangleProof: For ABC to be a right triangle, it should satify pythagoras theoremi.e AB2= AC2+ BC2Now, AC = BC (given)On substitution, we findAB2= 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. |
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