Equilateral Triangle - Interior Point Property

IB Maths: Analysis & Approaches: Equilateral Triangle - Interior Point Property

The following 2-part challenge problem is about an interesting property of equilateral triangles.(i) Prove that for any point in the interior of an equilateral triangle the sum of the distances (perpendicular) to the sides of the triangle is constant.(ii) Express this constant – the sum of the distances from an interior point to the sides – as an expression in terms of the length of one of the equilateral triangle’s...

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