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From a point P inside an equilateral triangle, the perpendicular distances to the three sides are 3 cm, 4 cm and 5 cm. What is the length of a side of the triangle?

Competition practiceGeometry
  • A8√3 cm
  • B12 cm
  • C4√3 cm
  • D6√3 cm

Step-by-Step Solution

Joining P to the vertices splits the triangle into three parts: , so the height cm. Then cm. (12 cm is the height, not the side.)
Answer: A) 8√3 cm

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