SOLUTION: one of the equal sides of an equilateral triangle is 5 cm long. What is the area of the triangle?

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Question 325141: one of the equal sides of an equilateral triangle is 5 cm long. What is the area of the triangle?
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Sides of an equilateral triangle are all of equal length. In this case, 5 cm
AreaOfTriangle+=+%28bh%29%2F2
So, since all sides are 5, we need to find h.
Draw an equaliateral triangle with b across the bottom.
Drop a perpendicular line from the 'peak' down to the base.
That will result in two smaller right triangles. Each of those triangles has sides of length 2.5, 5 and h.
Use pathagorean theorem to solve for h
h%5E2+=+5%5E2+%2B+%282.5%29%5E2
You do the math.
Once you have h, then plug that value into the Area formula above.
Let me know if you can't solve this now