Question

A traffic signal board, indicating ‘SCHOOL AHEAD’, is an equilateral triangle with side a. 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? Please answer by taking "a" (the side as 60.....bcz 180/3 = 60)

Answer 1

Answer:

900 root 3

Step-by-step explanation:

perimeter of triangle = 180 cm

let side = a

3 × a = 180 cm

a = 60 cm

acoording to heron formula of equallateral triangle = root 3/4 × side^2

area = root 3/4 ×[60][60]

=root 3 × 15 × 60

= 900 root 3 cm^2

Hope it help.