Question

the perimeter of a triangular field is 420 m and its sides are in the ratio 6:7:8. find the area of the triangular field.

Answer 1

let sides be 6 x ,7 x ,8 x metres.
according to the situation,
6x +7x +8x= 420
21x = 420 or x =20 metre .
finding area by herons formula,√ s(s-a)(s-b)(s-c) where s is semi perimeter

Answer 2

6x + 7x + 8x = 420
21x = 420
x = 20
therefore, sides of triangle r
6x = 6*20
= 120m
7x = 7*20
= 140m
8x = 8*20
= 160m
s = 420/2
= 210
area = √s (s-a) (s-b) (s-c)
= √210 (210 - 120)(210 - 140)(210 - 160)
= √210(90)(70)(50)
= √66150000
= 8133 (approx.) m2
Hope its correct.......