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Equilateral Triangle (Posted on 2003-12-18) Difficulty: 3 of 5
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.

No Solution Yet Submitted by Ravi Raja    
Rating: 4.0000 (5 votes)

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solution | Comment 12 of 19 |
ive noticed that they all used cosine law in solving this problem. In more elementary way we could solve that by plotting the vertices to the trinagle in a cartesian plain which has the coordinates of (0,0),(s/2,s3/2),(s,0). Then use the formula for obtaining the distance between two points and you will get three equations and three unknowns then manipulate it and you will get the value of s=6.76643 cm
  Posted by joel on 2004-01-02 22:37:33
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