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 right-angles 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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