Suppose ABC is an equilateral triangle and P is a point inside the triangle, such that PA = 3 cms., PB = 4 cms., and PC = 5 cms.

Then find the length of the side of the equilateral triangle.

well u see i absolutely hate decimals, so here's the clean answer. sqrt(25 + 12sqrt3)

PS, you don't have to have any knowledge other than SAS postulate, 30-60-90 triangle, and how to make 2 constructions. you don't fancy trig stuff.

*Edited on ***December 18, 2003, 5:28 pm**

*Edited on ***December 18, 2003, 5:30 pm**