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SSC CGL Tier-1 24-Aug-2021 Shift 3 Solved Paper
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© examsnet.com
Question : 67
Total: 100
△
A
B
C
is right angled at
B
.
B
D
is an altitude intersecting
A
C
at
D
. If
A
C
=
9
c
m
and
C
D
=
3
c
m
, then find the measure of
A
B
(in
c
m
).
3
√
6
3
6
√
3
6
Validate
Solution:
Given,
A
C
=
9
c
m
,
C
D
=
3
c
m
then,
A
D
=
A
C
−
C
D
=
9
−
3
=
6
c
m
In
△
A
B
C
and
△
A
D
B
,
∠
A
B
C
=
∠
A
D
B
=
90
∘
∠
B
A
C
=
∠
D
A
C
(common angles)
∴
A
C
A
B
=
A
B
A
D
⇒
9
A
B
=
A
B
6
⇒
A
B
2
=
9
×
6
∴
A
B
=
3
√
6
c
m
© examsnet.com
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