∆ABC ~∆AQR. AB/AQ=7/5
then which of the following option is true.
A) A-Q-B
B) A-B-Q
C) A-C-B
D) A-R-B
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Answer:
the following option is true=A-R-B
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Given : ∆ABC ~∆AQR. AB/AQ=7/5
To Find : which of the following option is true.
A) A-Q-B
B) A-B-Q
C) A-C-B
D) A-R-B
Solution:
ΔABC ≈ ΔAQR
=> AB and AQ are collinear
AB/AQ = 7/5
Let say AB = 7k
then AQ = 5k
7k > 5k
=> AB > AQ
=> AB = AQ + QB
Hence Q lies in between A and B
A-Q-B is the correct option
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