Question

Sides of a triangle are in the ratio 3:4:5 and its semi perimeter is 18 cm. find its area

Answer 1

hello!

Answer:

54 cm^2

Step-by-step explanation:

s=18

so, perimeter= 18*2= 36

let the sides be 3x, 4x and 5x.

3x+4x+5x=36

12x=36

hence, x=36/12=3

sides are 9cm, 12cm and 15 cm.

area= sqrt (18*(18-9)(18-12)(18-15))

= sqrt (18*9*6*3)

=sqrt (3*3*2*3*3*3*2*3)

bring the terms outside:

=3*2*3*3

= 54

hope it helps!