# Proof involving equilateral triangle

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Let (triangle DEF) be equilateral triangle and Q is a point inside.

Prove that the sum of the three distances from Q to each side is equal to the altitude DD'.

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It proves that the sum of the three distances from a point inside to each side of an equilateral triangle is equal to the altitude. The solution is detailed and received a '5/5' from the student who posted the question.

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Let (triangleDEF) be equilateral triangle and Q is a point inside.Prove that the sum of the three distaces from Q to each side is equal to the altidude DD'.

As in the figure, Q is an arbitrary point inside ...

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