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

Explanation

To prove that triangle ABC is a right triangle given that it is isosceles with AC = BC and AB² = 2AC², we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Information**:
- Triangle ABC is isosceles, meaning AC = BC.
- It is given that AB² = 2AC².

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