SOLUTION: find the area of an equilateral triangle with apothem of 11 cm Thank you

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Question 1159837: find the area of an equilateral triangle with apothem of 11 cm
Thank you
Found 2 solutions by greenestamps, Istar31:
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The apothem of an equilateral triangle divides the triangle into two 30-60-90 right triangles. In an equilateral triangle, the side length is 2%2Fsqrt%283%29 times the length of the apothem.

Then find the area of the triangle using the standard formula one-half base times height:

%281%2F2%29%28%282%2Fsqrt%283%29%29%2811%29%29%2811%29

Simplify and/or convert to decimal as required.

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Note to new tutor @Istar... (if you see it)

Providing an answer with no work shown is counterproductive.

Assuming the student is interested in learning HOW to solve a problem, he now has to re-post his question, because you have done nothing to help him.

This forum is for helping students learn how to do math -- not to do their homework for them.

Answer by Istar31(3) About Me  (Show Source):
You can put this solution on YOUR website!
363√3 cm^2