SOLUTION: IF THE HEIGHT OF AN EQUILATERAL TRIANGLE IS 5√3 CMS THEN THE PERIMETER OF THE TRIANGLE IS?

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Question 431377: IF THE HEIGHT OF AN EQUILATERAL TRIANGLE IS 5√3 CMS THEN THE PERIMETER OF THE TRIANGLE IS?
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
Solution:Let = x cm the side of equilateral triangle, then its perimeter is 3x cm
As we know the height bisect the opposite side, and you can use the Pythagorean theorem to find the side:
%285sqrt%283%29%29%5E2%2B%28x%2F2%29%5E2=x%5E2, solve this equation.
75%2Bx%5E2%2F4=x%5E2
x%5E2-x%5E2%2F4=75
3%2Ax%5E2%2F4=75, divide both sides by 3
x%5E2%2F4=25,Multiply both sides by 4
x%5E2=100,
x=10cm
The perimeter of triangle is 3%2A10=30cm.