A traffic sign board has 'forward school' written on it and it is the

1.	A traffic sign board has 'forward school' written on it and it is the size of an equilateral triangle having 'a'. Using the formula of Heron, find the area of this board, if the perimeter of the board is 180cm, what will be the area of this sign board?
Answer» Let the side is a cm s=a+a+a/2(a+a+a=180 because perimeter is 180; 3a=180; a=60)s=180/2=90 Area =√(s(s-a)(s-a)(s-a))√(90(90-60)(90-60)(90-60))√(90303030√3030303030=3030√30=900√30 cm

A traffic sign board has 'forward school' written on it and it is the size of an equilateral triangle having 'a'. Using the formula of Heron, find the area of this board, if the perimeter of the board is 180cm, what will be the area of this sign board?

Answer»

Let the side is a cm

s=a+a+a/2(a+a+a=180 because perimeter is 180; 3a=180; a=60)s=180/2=90

Area =√(s(s-a)(s-a)(s-a))√(90(90-60)(90-60)(90-60))√(90*30*30*30√30*30*30*30*30=30*30√30=900√30 cm