SOLUTION: The side length of an equilateral triangle is 6 cm. What is the height of the triangle?

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Question 870883: The side length of an equilateral triangle is 6 cm. What is the height of the triangle?
Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
Think of the triangle as two right triangles put together back to back -- each of those triangles would have a hypotenuse of 6 and a base of 3. You're looking for the third leg.
3%5E2+%2B+x%5E2+=+6%5E2
9 + x%5E2 = 36
Subtract 9 from each side
x%5E2=25
sq rt each side
x = 5
.
The height is 5.