Question

A traffic signal board, indicating'SCHOOL AHEAD' , is an equilateral triangle with'a' . Find the area of the signal board, using herons formula. If it's perimeter is 180 CM, what will be the area of the signal board?

Answer 1

Answer:

The Correct Answer is 1557cm2

Step-by-step explanation:

Length of the triangle is 'a'

The Area of the equilateral triangle is $\frac{a^{2} }{4} \sqrt{3}$

The Perimeter of the triangle is 3a

Given Perimeter = 180cm

180 = 3a

60 cm = a ( Side of Triangle )

Now Area is = $\frac{60^{2} }{4} \sqrt{3}$

= (3600/4) X $\sqrt{3}$

= 900 X $\sqrt{3}$

= 900 X 1.73

= 1557 cm2