Question

the perimeter of a triangular field is 420 metre and its sides are in the ratio 6 is to 7 is to 8 find the area of a triangular field​

Answer 1

Answer:

Step-by-step explanation:

let its sides be 6x , 7x, 8x

6x+7x+8x=420

21x=420

x=20

first side=20 x 6=120

second  side=20 x 7=140

third  side=20 x 8 =160

s=(120+140+160)/2

 =210

area=√s(s-a)(s-b)(s-c)

      = √210*90*70*50

       =  √3*5*2*7*3*3*5*2*5*2*7*5*5*2

          =7*5*5*3*2*2*√15

             =2100√15