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UPSC CDS Math Area and Perimeter Questions
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© examsnet.com
Question : 4
Total: 116
An equilateral triangle and a square are constructed using metallic wires of equal length. What is the ratio of area of triangle to that of square ?
[2019 CDS-II]
3 : 4
2 : 3
4
√
3
:
9
2
√
3
:
9
Validate
Solution:
Length
=
3
a
T
=
4
a
s
⇒
a
T
=
4
3
a
s
⇒
a
T
2
=
16
9
a
s
2
Area of
∆
Area of
square
=
√
3
4
a
T
2
a
S
2
=
√
3
4
×
16
9
=
4
√
3
9
© examsnet.com
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