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Question
State whether the two triangles are congruent or not. Justify your answer
Solution
Let the given triangle be ∆ABC
`bar("AD")` divides ∆ABC into two parts giving ∆ABD and ∆ACD
In ∆ABD and ∆ACD
`bar("AB") = bar("AC")` ...(given)
`bar("BD") = bar("AD")` ...(common side)
∠BAD = ∠CAD ...(included angles)
∴ By SAS criterion ∆ABD ≅ ∆ACD.
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