SOLUTION: the altitude of an equilateral triangle is 4.2 meters long find the perimeter of the triangle

Question 930234: the altitude of an equilateral triangle is 4.2 meters long find the perimeter of the triangle
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
s = sqrt( 4.2*4.2 + (s/2)(s/2) )
s = sqrt( 4.2*4.2 + (ss/4) )
ss = 4.2*4.2 + (ss/4)
ss - (ss/4) = 4.2*4.2
(4ss/4) - (ss/4) = 4.2*4.2
(3ss/4) = 4.2*4.2
(3/4)ss = 4.2*4.2
ss = 4.2*4.2*(4/3)
s = sqrt( 4.2*4.2*(4/3) )
s = 2*4.2 * sqrt( 1/3 )
s = 4.84974226119
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check:
sqrt( (4.84974226119/2)*(4.84974226119/2) + 4.2*4.2 ) = 4.84974226119
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answer:
perimeter = 3 * 4.84974226119
perimeter = 14.5492267836 meters
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