Question

a Traffic signal bord indicatinding 'school ahead' is an equalateral triangle with side 'a'. find the side of the single board, using Herons Formula. If its perimeteris 180cm, what will be the area of single board?​

Answer 1

Answer:

Thank me.

Please mark me as Brainliest!!

Answer 2

​Answer:  

Here, we are given traffic signal is an equilateral triangle with side a.

So, its perimeter, =3a

Also, we are given perimeter is 180cm. ∴3a=180⇒a=60cm

Now, semi perimeter, s=1802=90cm

So, using Heron's formula,

Area, A=s(s−a)(s−b)(s−c)−−−−−−−−−−−−−−−−−√

Here, a=b=c=60cm A=90(90−60)(90−60)(90−60)−−−−−−−−−−−−−−−−−−−−−−−−√ =90∗30∗30∗30−−−−−−−−−−−−−√=30∗303–√=9003–√cm2