a traffic signal board , including school ahead is an equilateral triangle with side a find the are of the signsl board , using heron,s formula if its perimeter 180 cm , what will be the area of the signal board
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Side of a traffic signal board=a
perimeter of a traffic signal board =3xa
2s=3a
s= 3/2a
By herons formula, A.of tri=
A.of given tri= ✓3/2a (3/2a-a) (3/2a-a) (3/2a-a)
✓3/2a (a/2) (a/2) (a/2)
=✓3/2(a square). .......(1)
perimeter of a traffic signal board=180cm
side of a traffic signal board (a)=(180/3)cm=60 cm
using eq1 area of traffic signal board =✓3/2 (60 cm) square
-(3600/4 ✓3 cm square -900✓3 cm square.
thank you...hopes it help you
perimeter of a traffic signal board =3xa
2s=3a
s= 3/2a
By herons formula, A.of tri=
A.of given tri= ✓3/2a (3/2a-a) (3/2a-a) (3/2a-a)
✓3/2a (a/2) (a/2) (a/2)
=✓3/2(a square). .......(1)
perimeter of a traffic signal board=180cm
side of a traffic signal board (a)=(180/3)cm=60 cm
using eq1 area of traffic signal board =✓3/2 (60 cm) square
-(3600/4 ✓3 cm square -900✓3 cm square.
thank you...hopes it help you
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