Question

the cost of levelling a triangular plot of a land @ rupees 12 per square metre is rupees 18 1000 if the sides of plots are 13:5:12 find the sides

Answer 1

The area of triangular path will =
total cost /cost at rate
81000/12
=6750 M sq.
Now let the three sides in ratio be 13x,12x and 5x,
using heron's formula
Area of triangular path =
[tex] \sqrt{s{s - a}{s - b}{s - c}
now according to heron's formula
s= sum of all sides /2
s=13x+12x+5x=15x
now,
a=13x
b=12x
c=5x
x=15 ( see in Photo up)
now three sides,
13x=13/times 15=195M
12x=12/times 15=180M
5x=5/times 15=75M
hence the three sides of the triangular path are 195M, 180M,75M.
Hope you understand the solution :)