Question

The sides of triangle plot are in ratio 4:5:6 and its perimeter is 150cm. Find the sides and area of plot ?

Answer 1

let take the sides be 4x ,5xnd 6x .
4x+5x+6x=150cm
15x=150
x=150/15
x=10
therefore ,the sides of the triangular plot is 40,50,and 60cm.
s=a+b+c/2
  =150/2
  =75 cm
so,
  Area of triangle =root of s (s-a)(s-b)(s-c)
                            =root of 75(75-40)(75-50)(75-60)
                             =root of 75 (35)(25)(15)
                           =root of 15 x 5 x 7 x 5 x 5 x5 x 5 x 3
                           =25 root of 5 x 3 x 7 x 5 x 3
                           = 25 x 15 root of 7
                     Area of triangle=375 root of 7

Answer 2

Answer:

Let the sides of the triangle be 4x,5x,6x, respectively.

Perimeter of triangle =4x+5x+6x

⇒150=15x

⇒x=10

Therefore, the sides are 40 cm, 50 cm, and 60 cm.

here your answer mate ✌