Question

The side of the triangle are in ratio 3:5:7 and it's perimeter is 600 CM. Find the area of the triangle

Answer 1

Let the sides of the triangle be 3x , 5x and 7x respectively.

since the perimeter of a triangle= a+b+c

3x+5x+7x=600

15x=600

x=40

There fore the sides are 120, 200 and 280 respectively.

Using herons formula we can find the area.

Hope it helps you......

Answer 2

Answer:

side are given in ration 3:5:7...let multiply them by x so side will be 3x, 5x, 7x

perimeter is given =600

3x+5x+7x=600

15x=600

x=40

side will be

a=120

b=200

c=280

now for find area we use heroin's formula

√s(s-a) (s-b) (s-c)

here s is half of the perimeter

now put the value

s=300

so√ [300(300-120) (300-200) (300-280) ]

√ [300*180*100*120]

18000√2 will be area