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

Algebra.Com
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)   (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 times the length of the apothem.

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



Simplify and/or convert to decimal as required.

-----------------------------------
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)   (Show Source): You can put this solution on YOUR website!
363√3 cm^2
RELATED QUESTIONS

37) Find the area of an equilateral triangle with apothem... (answered by macston)
Find the area of an equilateral triangle, with apothem 10 times the square root of 3.... (answered by solver91311)
Find the area of an equilateral triangle (regular 3-gon) with the given measurement if... (answered by Fombitz)
Find the area of an equilateral triangle (regular 3-gon) with the given measurement.... (answered by edjones)
What is the area of an equilateral triangle with apothem... (answered by RAY100)
an equilateral triangle with apothem 2, what is the... (answered by Alan3354)
find the length of each side of an equilateral triangle for which each apothem has a... (answered by Alan3354,addingup)
find the area of an equilateral triangle with an apothem having a length of 4 feet. round (answered by solver91311)
Find the surface area of an equilateral triangle base with side 12.6 cm; height 21.3... (answered by Alan3354)