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Maths CBSE Live product
Class 9
Triangles
Properties of Triangle - II
4.
TBQ - Prove the following II
Question:
2
m.
\(ABC\) and \(DBC\) are two isosceles triangles on the same base \(BC\). Show that \(∠ ABD = ∠ ACD\).
Proof
:
In \(\triangle DAB\) and \(\triangle DAC\),
\(\triangle DAB \cong \triangle DAC\) [By
SAS
ASA
SSS
SSA
Congruence rule]
Then, \(∠ABD = ∠ACD\) [By
Congruent part of corresponding angles
Corresponding angle of a non congruent triangle
Corresponding part of congruent triangle
]
Hence, we proved.
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