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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 kiss SOLUTION Comment 19 of 19 |

The area of an equilateral triangle  =.5 *a^2.9*sqrt(3).............(i)

The sum of three triangles APB, APC and BPC =.5*a*(3+4+5))...(ii)

Comparing (i) with (ii)    we get    a=4*sqrt(3)= 6.928


  Posted by Ady TZIDON on 2014-10-18 11:13:43
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