Respuesta :

The area of the equilateral triangle is 110.9 cm

How to find area of a triangle?

area of a triangle = 1 / 2 bh

where

  • b = base
  • h = height

Therefore,

tan 60 = opposite / adjacent

tan 60 = 8√3 / x

x =  8√3 / √3

x = 8

hence,

b = 8 + 8 = 16

Therefore,

area of a triangle =  1 / 2 × 16 × 8√3

area of a triangle = 64√3

area of a triangle = 110.851251684

area of a triangle = 110.9 cm

learn more on triangle here: https://brainly.com/question/20593575

#SPJ1