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Question 6
In the below figure, if ΔABEΔACD, show that ΔADEΔABC.

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Solution

It is given that ΔABEΔACD.
AB=AC[By CPCT]...(i)
And, AD = AE [By CPCT] ... (ii)
In ΔADE and ΔABC,
ADAB=AEAC [Dividing equation (ii) by (i)]
A= A [Common angle]
ΔADEΔABC [By SAS similarity criterion]

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