Question

a traffic signal board , indicating 'school ahead is an equilateral triangle side 'a'find the area of the signal board using heron 's formula . if it's perimeter is 180 cm, what will be the area of the signal bord​

Answer 1

Answer:

Side = 60 cm

Area = 900 (3)^½

Step-by-step explanation:

For finding side 'A' as an equilateral triangle is 180/3 which is 60 cm

Herons formula = (s(s-a)(s-b)(s-c))^½

Semiperimeter of this triangle = 180/2 = 90cm

Area of the triangle = (90(90-60)(90-60)(90-60))^½

= (90×30×30×30)^½

= 10×10(9×3×3×3)^½

= 10×10×3×3(3)^½

= 900 (3)^½

I hope you have clearly understood the answer