Question

the length of the sides of a triangle are in a ratio of 4:5:6 and it's perimeter is 150 cm . find 1 ) the area of the triangle , 2) the corresponding two largest sides ( by herons formula )

Answer 1

perimeter = 4x+5x+6×=150
15x=150
x=150/15
x=10
4x = 40
;. 5x =50
6x=60
A= √s(s-a)(s-b)(s-c)
s=a +b+ c/2
a=40
b=50
c=60
s=150/2=75
putting values
a=375√7