Question

Sides of a triangle are in the ratio of 3: 5: 7 and its semi perimeter is 60 cm. Find its area. please help do in proper steps very URGENT

Answer 1

Answer: let sides are 3x, 5x, 7x

Semi perimeter= (a+b+c)/2 = 60

So

a+b+c = 60*2 = 120

Now

3x+5x+7x=120

15x=120

x=8

So

Sides are

a=3x = 3*8= 24

b=5x = 5*8= 40

c=7x= 7*8 = 56

Now using herons formula

Area = √s(s-a)(s-b)(s-c)

√60(60-24)(60-40)(60-56)

√60*36*20*4

√10*6*6*6*10*2*2*2

10*6*2√6*2

120√2*3*2

120*2√3

240√3

Hope you will understand my solution

Step-by-step explanation: