Question

Find the area of an equilateral triangle with a side length of 16 centimeters. Round to the nearest tenth.

Answer 1

As we know that the area of an equilateral triangle with side a is given by ;

• 
  `{\boxed{\bf{Area_((equilateral))=(√(3))/(4)a^(2)}}}`

So , now using formula in our question, putting the value of the side, we can thus obtain

`{:\implies \quad \sf Area=(√(3))/(4)(16)^(2)}`

Putting value of √3 ≈ 1.73 and cancelling 4 we have ;

`{:\implies \quad \sf Area\approx 1.73* 64}`

`{:\implies \quad \sf Area\approx 110.72\:\: cm^(2)}`

`{:\implies \quad \sf Area\approx 110.7\:\: cm^(2)}`

This is the required answer