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Standard IX
Mathematics
Area of a Triangle - by Heron's Formula
If the sides ...
Question
If the sides of a triangular field measure 51 m, 37 m and 20 m, then the cost of levelling it at Rs 5 per m
2
is Rs 1530.
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Solution
True
Let
:
a
=
51
m
,
b
=
37
m
and
c
=
20
m
s
=
a
+
b
+
c
2
=
51
+
37
+
20
2
=
54
m
By
Heron
'
s
formula
,
we
have
:
Area
of
triangle
=
s
(
s
-
a
)
(
s
-
b
)
(
s
-
c
)
=
54
(
54
-
51
)
(
54
-
37
)
(
54
-
20
)
=
54
×
3
×
17
×
34
=
3
×
3
×
3
×
2
×
3
×
17
×
17
×
2
=
17
×
2
×
3
×
3
=
306
m
2
Cost of levelling 1 m
2
of area = Rs 5
Cost of levelling 306 m
2
of area =
5
×
306
=
Rs
1530
Suggest Corrections
2
Similar questions
Q.
Question 8
Write True or False and justify your answer:
The cost of leveling the ground in the form of a triangle having the sides 51m, 37m and 20m at the rate of Rs.3 per
m
2
is Rs.918.
Q.
The cost of leveling the ground in the form of a triangle having the sides 51 m, 37 m and 20 m at the rate of Rs.3 per
m
2
is
Q.
The lengths of the sides of a triangular field measure 20 m, 21 m and 29 m. The cost of cultivating the field at Rs 4.50 per m
2
is
(a) Rs 900
(b) Rs 945
(c) Rs 1305
(d) Rs 1890
Q.
A ground is in the form of a triangle having sides 51 m, 37 m and 20 m. The cost of levelling the ground at the rate of ₹ 3 per m
2
is __________.
Q.
The sides of a triangular field are in the ratio
5
:
3
:
4
and its perimeter is
180
m, then find
the cost of levelling the field at the rate of Rs.
10
per square meter.
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