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?


give your answer in details​

Answer 1

Answer:

We are given that the perimeter of the traffic signal board is 180 cm. So to find it's semi-perimeter, we need to divide it by 2.

As all the sides of an equilateral triangle are equal...

so,

a+a+a=180

=> 3a = 180

=> a = 60 cm

Now using the Heron's formula, we will get the answer 900√3 cm^2.