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ABC is an isosceles triangle with AC = ...

ABC is an isosceles triangle with AC = BC. If `A B^2=2A C^2`, prove that ABC is a right triangle.

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To prove that triangle ABC is a right triangle given that \( AC = BC \) and \( AB^2 = 2AC^2 \), we can follow these steps: ### Step 1: Understand the given information We know that triangle ABC is isosceles with \( AC = BC \). We also have the equation \( AB^2 = 2AC^2 \). ### Step 2: Substitute the lengths Since \( AC = BC \), we can denote \( AC = BC = x \). Therefore, we can rewrite the equation as: \[ ...
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