amelia1628472947
amelia1628472947 amelia1628472947
  • 08-05-2021
  • Mathematics
contestada

The logo on a recycling bin resembles an equilateral triangle with side lengths of 6 centimeters. Approximate the area of the logo.

Respuesta :

rococo908
rococo908 rococo908
  • 09-05-2021

Answer:

9[tex]\sqrt{3}[/tex] cm² or approximately 15.59 cm²

Step-by-step explanation:

Use the formula for the area of an equilateral triangle, A = [tex]\frac{\sqrt{3} }{4}[/tex]a²

Plug in the side length, 6 cm, as a in the formula:

A = [tex]\frac{\sqrt{3} }{4}[/tex](6²)

A = [tex]\frac{\sqrt{3} }{4}[/tex](36)

A = 9[tex]\sqrt{3}[/tex]

So, the area of the logo is 9[tex]\sqrt{3}[/tex] cm² or approximately 15.59 cm²

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