Question

What is the area of an equilateral triangle with a perimeter of 36 centimeters?

Answer 1

perimeter of the equilateral triangle is `36 cm`
`:.` each side = `36/3 = 12cm`

the formula for area of an equilateral triangle is:
`sqrt3/4 (side)^2`

the side =`12 cm`
area = `sqrt3/4 (side)^2`
`= 0.433 xx (12)^2`
`= 0.433 xx 144`

area `color(blue)(approx 62.35 cm^2`