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Question

State the property by which $Δ A D B ≅ Δ A D C$ in the following figure.,

SSS property
RHS property
ASA property
SAS property

A

RHS property

B

SSS property

C

ASA property

D

SAS property

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Solution

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From figure, we have
$A B = A C$ ....Given
$∠ B A D = ∠ C A D$
$A D = A D$ ....Common sides
$∴$ By SAS property, $Δ A D B ≅ Δ A D C$ .

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