Question

A traffic signal board, indicating 'SCHOOL AHEAD', is an equilateral triangle with
side 'd'. Find the area of the signal board, using Heron's formula. If its perimeter is
180 cm, what will be the area of the signal board?​

Answer 1

Answer:

Heron's formula is generally used for calculating area of scalene triangle. Hence , the area of the signal board when perimeter is 180 cm is 900√3 cm².

Answer 2

Answer:

1558.85 cm^2

Step-by-step explanation:

side = d

P = 180

in an equi(∆) , = 3(side) = Perimeter, therefore

3d = 180

d = 60

Heron's Formula for equilateral triangle :

√3/4(a)^2

= √3/4(60)^2

= 1558.85 cm^2