in the figure,AP:PC=3:4,BM:MP=3:2 and BQ=12cm find 4/7×AQ.
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4/7×AQ. = 8 cm if ,AP:PC=3:4,BM:MP=3:2 and BQ=12cm
Step-by-step explanation:
Let draw PN ║ QM or QC (as M lies on QC)
=> ΔAPN ≈ ΔACQ
AN/QN = AP/PC
=> AN/QN = 3/4
ΔBMQ ≈ ΔBPN
BQ/QN = BM/MP
=> 12/QN = 3/2
=> QN = 8
AN/QN = 3/4
=> AN/8 = 3/4
=> AN = 6
AQ = AN + QN = 6 + 8 = 14
(4/7) * AQ
= (4/7) * 14
= 8 cm
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