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Question
In the given figure, ∠ACB = ∠CDA, AC = 8cm, AD = 3cm, then BD is ______.
Options
`22/3`cm
`26/3`cm
`55/3`cm
`64/3`cm
MCQ
Fill in the Blanks
Solution
In the given figure, ∠ACB = ∠CDA, AC = 8cm, AD = 3cm, then BD is `underline(55/3"cm")`.
Explanation:-
∆ACD ~∆ ABC(AA)
`therefore"AC"/"AB"="AD"/"AC"`(CPST)
`8/"AB"=3/8`
This gives `AB=64/3"cm"`
So BD = AB - AD = `64/3-3=55/3"cm"`
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