SOLUTION: find the length of each side of an equilateral triangle for which each apothem has a length of 2 cm

Question 1108928: find the length of each side of an equilateral triangle for which each apothem has a length of 2 cm
Found 2 solutions by Alan3354, addingup:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
find the length of each side of an equilateral triangle for which each apothem has a length of 2 cm
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The apothem is 1/3 of the altitude --> altitude = 6 cm
altitude = s^2 - (s/2)^2 = 6
s^2 - s^2/4 = 6
3s^2 = 24
s^2 = 8
s = 2sqrt(2) cm

Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
apothem: a
side: x
An equilateral divided by the apothem into 2 right triangles where each right triangle is a 30-60-90 triangle.
cos(30) = a/x
1/cos(30) = x/a
1/cos(30)*a = x
(1/0.866)*2 = x
x = 2.31

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