sydie02
sydie02 sydie02
  • 10-08-2018
  • Mathematics
contestada

find the area of an equilateral triangle if a side is 8 times the square root of 3

Respuesta :

MrGumby
MrGumby MrGumby
  • 15-08-2018

The area would be about 83.14.

You can find this by starting with the formula for the area of an equilateral triangle:

A = [tex] \frac{\sqrt{3}}{4} S^{2} [/tex]

In this equation, A is the area and S is the side. So we'll just plug in the value.

A = [tex] \frac{\sqrt{3}}{4} S^{2} [/tex]

A = [tex] \frac{\sqrt{3}}{4} (8\sqrt{3})^{2} [/tex]

A = [tex] \frac{\sqrt{3}}{4} 24 [/tex]

A = 83.14

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