Abcd is a rhombus. A line passing through c cuts extended line ad and ab at q and p respectively. If qd = 1/2 ab. Then find the ratio ab to pb.
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Step-by-step explanation:
ABCD is a rhombus
AB = BC = CD = DA
DP=12AB
DPAB=12
In a rhombus ∠2=∠3
∴△APQ∼△BCQ
(∵ ∠Q IS COMMON AND ∠2=∠3)
APBC=AQBQ AQBQ=32
AB+BQBQ=32 (∴AQ=AB+BQ)
AB/BQ+1=32
AB/BQ=32−1
AB/BQ=1/2
Hope it helps you...
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