Question

Find the area of an equilateral triangle with side 8 cm. [Take `sqrt3 = 1.732`].

Answer 1

Given: Side of equilateral triangle, a = 8 cm. Take `sqrt3 = 1.732`.

Step wise calculation:

1. Area of an equilateral triangle formula:

`"Area" = sqrt(3)/4 a^2`

2. Substituting the values: 

`"Area" = 1.732/4 xx 8 xx 8`

= `1.732/4 xx 64`

= 1.732 × 16

= 27.712 cm²

The area of the equilateral triangle with side 8 cm is 27.712 cm².