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An equilateral triangle has a perimeter of 18 units. How do you find the area?

1 Answer

Leland Adriano Alejandro

Apr 16, 2016

Area $= 9 \sqrt{3} = 15.588$ $=9sqrt3=15.588 " "$ square units

Explanation:

The formula for the area of an equilateral triangle is

Area $= \frac{\sqrt{3}}{4} s^{2}$ $=sqrt3/4 s^2" " "$ where $s =$ $s=$ side of the equilateral triangle

for an equilateral triangle, $s = \frac{Perimeter}{3} = \frac{18}{3} = 6$ $s=("Perimeter")/3=18/3=6$

Solve the Area

Area $= \frac{\sqrt{3}}{4} s^{2} = \frac{\sqrt{3}}{4} {(6)}^{2} = 9 \sqrt{3} = 15.588$ $=sqrt3/4 s^2=sqrt3/4 (6)^2=9sqrt3=15.588$

God bless....I hope the explanation is useful.

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