Question

The sides of a triangular plot are in the ratio of 3:5:7 and its perimeter is 300cm.Find its area.





plzzz help me!!!!!!​

Answer 1

Answer:

answer for the given problem is given

Answer 2

Answer:

let the sides be 3x,5x and 7x.

thus,

perimeter=sum of all sides

300=3x+5x+7x

300=15x

300/15=x

20=x

Now,

sides of triangle are 3x=3*20=60

                                  5x=5*20=100

                                  7x=7*20=140

According to heron's formula:

area of a triaangle = $\sqrt{(s(s-a)(s-b)(s-c))}$

where s= a+b+c/2

therfore,s=300/2

               =150

putting the values in heron's formula we get:

area of triangle=$\sqrt{(150(150-60)(150-100)(150-140)}$

                        =$\sqrt{150*90*50*10}$

                        =$\sqrt{50*3*30*3*50*10}$

                        =$50*30\sqrt{3}$

                         =$1500\sqrt{3}$