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The perimeter of an equilateral triangle is 12. Find the area to the nearest tenth

 Aug 10, 2020
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The area of a triangle can be obtained from Heron's formula:

 

\(Area = \sqrt{s(s-a)(s-b)(s-c)}\)

 

where a, b and c are the lengths of the sides and s = (a+b+c)/2

 

In this case a = b = c = 12/3 = 4 and s = 12/2 = 6 so

 

\(Area = \sqrt{6\times 2^3}=\sqrt{48}=4\sqrt3\)

 

I'll leave you to turn this into a decimal to the nearest tenth.

 Aug 10, 2020

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