Inspired by Adrian Taboada

Geometry Level 4

If a point P P has a perpendicular distance of 8 cm , 10 cm 8\text{ cm}, 10\text{ cm} and 12 cm 12\text{ cm} from the sides of an equilateral triangle , then what is the length of the side of the triangle?

Give your answer to 2 decimal places.


Inspiration .


The answer is 34.64.

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