Mathematics
In the given figure, AB || DC, BO = 6 cm and DQ = 8 cm; find: BP x DO.
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Answer
In ΔDOQ and ΔBOP,
As AB || DC so, PB || DQ and BD is transversal.
∴ ∠QDO = ∠PBO [Alternate angles]
∠DOQ = ∠BOP [Vertically opposite angles are equal]
Hence, ∆DOQ ~ ∆BOP [By AA]
Since, corresponding sides of similar triangles are proportional we have :
Hence, BP x DO = 48 cm2.
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