SOLUTION: Find the area of an equilateral triangle, side a, in terms of a.

SOLUTION: Find the area of an equilateral triangle, side a, in terms of a.

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Question 955702: Find the area of an equilateral triangle, side a, in terms of a.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find the area of an equilateral triangle, side a, in terms of a.
Area of a triangle=1/2*base*height
Draw a perpendicular line from an apex to its base a. This is the height.
By the pythagorean theorem:
height=(√3/2)a
Area of equilateral triangle=1/2*a*(√3/2)a=√3a^2/4
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