Show that the perpendicular bisectors of the sides of a triangle are concurrent.

Explanation

To show that the perpendicular bisectors of the sides of a triangle are concurrent, we will follow a systematic approach. Here’s a step-by-step solution:

### Step 1: Define the Triangle
Let triangle \( ABC \) have the following coordinates:
- \( A(0, 0) \)
- \( B(a, 0) \)
- \( C(0, b) \)

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