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Standard IX
Mathematics
Question
In
Δ
A
B
C
,
A
B
=
A
C
and
A
D
is perpendicular bisector of
B
C
. The property by which
Δ
A
D
B
is not congruent to
Δ
A
D
C
is ______________.
SAS property
SSS property
RHS property
AAA property
A
SAS property
B
AAA property
C
SSS property
D
RHS property
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Solution
Verified by Toppr
Given that,
A
B
=
A
C
As
A
D
is perpendicular bisector to
B
C
So,
B
D
=
C
D
Therefore,
△
A
D
B
and
△
A
D
C
has one common side, two equal sides and a right angle in common.
Hence, all SAS, SSS and RHS property staisfy.
But AAA property does not satisfy.
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