Question

a traffic signal board indicating School ahead is a 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 signal board.pls frainds it's urgent​

Answer 1

Answer:

perimeter of eq. ∆ = 3a = 180cm

a = 60cm (each)

now,

semiperimeter = 180/2 = 90cm

Area of ∆ = √s(s-a)(s-a)(s-a)

Area = √90*(90-60)³

Area = √90*30*30*30

Area = √3*30*30*30*30

Area = 30*30√3

Area = 900√3 cm² (Ans)

(Mark as brainlist)