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A point in an equilateral triangle

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You have an equilateral triangle ABC. Extend a line from vertex B to some point near the center of the
triangle. The length of this line is 4. Now extend another line from vertex A to that point. The length of this side is 4. Now extend another point form vertex C to that same point. The length of this
side is 5.

What is the exact area of equilateral triangle ABC?

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3 answers to this question

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sqrt(3)(57+15 sqrt(13))/8 or approx. 24.05

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24.356964481437337

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