eviepoll005
eviepoll005 eviepoll005
  • 17-10-2020
  • Mathematics
contestada

An equilateral triangle has a side length of 16 cm work out the area of the triangle.
Give your answer rounded to 1 DP.

Respuesta :

jimrgrant1 jimrgrant1
  • 17-10-2020

Answer:

110.9 cm²

Step-by-step explanation:

The area (A) of an equilateral triangle is calculated as

A = [tex]\frac{s^2\sqrt{3} }{4}[/tex]  ( s is the side length )

Here s = 16, thus

A = [tex]\frac{16^2\sqrt{3} }{4}[/tex]

   = [tex]\frac{256\sqrt{3} }{4}[/tex] = 64[tex]\sqrt{3}[/tex] ≈ 110.9 cm² ( to 1 dec. place )

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