Question

In the figure,AP:PC=3:4,BM:MP=3:2 and BQ=12cm find 4/7×AQ.

Answer 1

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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