The perimeter of a triangular field is 270 cm and its sides are in the ratio 25 : 17 : 12. Find the sides of the triangle.
Answers
Answer:
3600
Step-by-step explanation:
Perimeter of triangle =540m
Let the sides of triangle be,a, b and c,
On dividing 540 m in the ratio 25:17:12, we get
a=25xcm
b=17xcm
c=12xcm
we know that, perimeter of a triangle = Sum of all sides =a+b+c
540=25x+17x+12x
540=54x
x=10
Sides are:
a=25x=250cm
b=17x=170cm
c=12x=120cm
Let a, b and c be the sides of a triangle.
Apply Heron's Formula of find the area of triangle.
Area =
S(S−a)(S−b)(S−c)
Where S=
2
a+b+c
S=
2
1
(250+170+120)=270m
Area =
(270(270−250)(270−170)(270−120))
=
(270×20×10×150)
=9000
Area of triangle is 9000m
2
.
Now,
The cost of ploughing 100m
2
=Rs40
The cost of ploughing 1m
2
=Rs
100
40
Therefore, cost of ploughing 9000m
2
=9000×(
100
40
)=Rs3600
I hope it helps
Answer:
the three sides are : 125cm, 85cm, 60cm
