Respuesta :

kishonwinston

Answer:

A = 27.7

Step-by-step explanation:

Knowing that an equilateral triangle has 3 equal side lengths, we can create our area and perimeter equations! x will be one of the side lengths

  • P = x + x + x
  • P = 3x

  • A = (1/2)(b*h)
  • all angles are 60
  • Using angles: sin(60) = [tex]\frac{\sqrt{3} }{2} = \frac{opp}{adj} = \frac{h}{a}[/tex]
  • A = [tex]a^{2} \frac{\sqrt{3} }{4}[/tex]

P = 3x = 24

x = 8

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

A = 27.7

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