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 ?
(JUST WANT A PERFECT ANSWER OTHER WISE IT WILL BE REPORTED)
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HERONES FORMULA IS
ROOT S(S-A)(S-B)(S-C)
SO NOW PERIMETER IS 180 CM
SEMI-PERIMTER WILL BE 180/2=90 CM
PERIMETER IS A+A+A=180 CM
3A=180 CM
A=180/3
=60 CM
NOW , USING HERONE'S FORMULA
ROOT 90(90-60)(90-60)(90-60)
=ROOT90*30*30*30
=900ROOT3
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