sides of a triangle are in the ratio of 3:5:7 and its perimeter is 300meter.find its area

sides of a triangle are in the ratio of 3:5:7 and its perimeter is 300

1.	sides of a triangle are in the ratio of 3:5:7 and its perimeter is 300meter.find its area
Answer» Let the sides of triangle be 3x,5x and 7x.According to the ques.Perimeter of triangle=sum of all sides300=3x+5x+7x15x=300x=300÷15x=20Now, The sides are3x=3×20=605x=5×20=1007x=7×20=140Let a=60,b=100&c=140Therefore,s=(a+b+c)÷2=300÷2=150Now,using Heron\'s formulaArea of triangle=√{s(s-a)(s-b)(s-c)}=√{150(150-60)(150-100)(150-140)}=√(150×90×60×10)=3×3×10×10√2×5=900√10ans.