In the parallelogram ABCD, BQ = 2QC and P is
any point on AD. If the area of the parallelogram
ABCD is 48 cm', find the area of PQC.
B.
C
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12
Answer:
Here, ABCD is a parallelogram.
AB∥DC and BD is a transversal.
∴ ∠ABQ=∠CDP [ Alternate angles ] ---- ( 1 )
In △AQB and △CPD,
⇒ AB=CD [ Opposite sides of parallelogram are equal ]
⇒ ∠ABQ=∠CDP [ From ( 1 ) ]
⇒ BQ=DP [ Given ]
∴ △AQB≅△CPD [ By SAS congruence ]
⇒ AQ=CP [ CPCT]
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Answer:
yes his answer is right bro
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