The triangle pull

An equilateral triangle with given distances between its vertices and an exterior point. What’s its side length x?

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The side length x = 7.

Solution by Dmitriy Spiridonov using the converse Ptolemy’s Theorem.

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2 replies on “The triangle pull”

Nice result whenever the sum of two of the distances is the third!
Any other nice relationships giving a nice value for x?

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