SOLUTION: the area of a equilateral triangle is numericaly equal to its perimeter find its perimeter correct to 2decimal places

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Question 466721: the area of a equilateral triangle is numericaly equal to its perimeter find its perimeter correct to 2decimal places
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let side of triangle be a
The altitudes, medians and the bisectors of a equilateral triangle are equal to 1/2a√3
Area = 1/2 * base * altitude
area = %281%2F2%29+%2A+a+%2A+%281%2F2+%2A+a%2A+sqrt%283%29%29
area = %281%2F4%29%2Aa%5E2sqrt%283%29
perimeter = 3a
3a=+%281%2F4%29+a%5E2sqrt%283%29
3=%281%2F4%29+%2Aa%2Asqrt%283%29
%284%2A3%29+%2Fsqrt%283%29+=a
12%2Fsqrt%283%29=a
a= 6.93