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?​

Answer 1

S/2 = 90

Answer

Hope it helps you

Answer 2

side of traffic signal board=a perimeter of traffic signal board =3×a

2s=3a-:s=3/2 a

by herons formula area of triangle -:

area of given triangle =√3/2a(3/2a-a)(3/2 a-a)

√s(s-a)(s-b)(s-c)

=√3/2 a (a/2) (a/2) (a/2)= √3\2a^2

perimeter if traffic signal board =180 cm

side of traffic signal board(a) =(180÷3)cm= 60 cm

Using equation first .., area of traffic signal board =√3÷2(60cm)^2

=(3600÷4√3)cm^2

= 900√3cm^2 Answer .

Hope it helps u