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In an equilateral triangle prove that th...

In an equilateral triangle prove that the centroid and the centre of the circumcircle (circumcentre) coincide.

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To prove that the centroid and the circumcenter of an equilateral triangle coincide, we will follow these steps: ### Step-by-Step Solution: 1. **Consider an Equilateral Triangle**: Let triangle ABC be an equilateral triangle where AB = BC = CA. 2. **Identify Midpoints**: ...
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