Question

the perimeter of a triangle is 48m and its sides are in ratio of 13:12:5.Find the area of the triangle​

Answer 1

Answer:

76.8m^2

Step-by-step explanation:

Let the sides be 13x, 12x, and 5x since they are in the ratio of 13:12:5.

Perimeter=sum of all sides

48=13x+12x+5x

48=30x

x=48/30

x=1.6

13x=13*1.6=20.8m

12x=12*1.6=19.2m

5x=5*1.6=8m

Thus, the sides are 20.8m, 19.2m and 8m.

S=perimeter/2=48/2=24

area of triangle=under root[S(S-A)(S-B)(S-C)]

                        =under root[24(24-20.8)(24-19.2)(24-8)]

                        =under root(24*3.2*4.8*16)

                        =76.8m^2