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UPSC CAPF Assistant Commandant 2013 Paper
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© examsnet.com
Question : 28
Total: 125
The sum of the base and altitude of a triangle is 30 cm. What is the maximum possible area of such a triangle?
100
c
m
2
110
c
m
2
112.5
c
m
2
120
c
m
2
Validate
Solution:
b + h = 30 cm
Maximum value of
b
×
h
=
b
=
h
=
30
2
=
15
c
m
∴ Maximum area of triangle
=
1
2
×
Base × Hypotenuse
1
2
b
h
=
1
2
×
15
×
15
=
112.5
c
m
2
© examsnet.com
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