Posted by Jess D on Saturday, March 15, 2008 at 8:52pm.
The altitude of an equilateral triangle is 12cm. Find the length of the sides.

Maths  Reiny, Saturday, March 15, 2008 at 9:23pm
You know the angles of an equilateral triangle are 60º each.
The altitude will form a rightangles triangle with angles 30,60,90º
the lengths of those sides could be 1,√3, and 2
so by ratios:
x/2 = 12/√3
x = 24/√3 = 13.856
or
sin 60 = 12/x
x = 12/sin60 = 13.856
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