11. In AABC, ZB = 90° B is joined to D, the mid-point of AC and
produced to E such that BD = DE. EC is joined. Show that
(1) ∆ADB congruent to ∆CDE
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Answer:
In triangle ADB and EDC
AD=DC ( Dis mid-point of AC)
BDA = CDE ( V.O.A)
BE=DE(given)
So, ADB congurent to ECD by SAS... 1
On adding triangle BDC to Triangle ADB and ECD
ABC= EBC ( adding equal to equals are also equal)
Hence, proved
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