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UPSC CDS Math Logarithm Questions
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© examsnet.com
Question : 2
Total: 16
The sides of a triangle are 30 cm, 28 cm and 16 cm respectively. In order to determine its area, the logarithm of which of the quantities are required ?
[2019 CDS-II]
37, 11, 28, 16
21, 30, 28, 7
37,21,11,9
37, 21, 9, 7
Validate
Solution:
We know that Heron's formula, if we want to calculate area
A
of triangle
having sides
a
,
b
,
c
units is
A
=
√
s
(
s
−
a
)
(
s
−
b
)
(
s
−
c
)
Here,
s
=
a
+
b
+
c
2
We have,
a
=
30
c
m
b
=
28
c
m
c
=
16
c
m
Then,
s
=
30
+
28
+
16
2
=
74
2
=
37
s
−
a
=
37
−
30
=
7
s
−
b
=
37
−
28
=
9
s
−
c
=
37
−
16
=
21
So, we have to know the logarithmic of 37,7,9 and 21 for finding the area of triangle.
© examsnet.com
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