In the given figure PQ PARALLEL TO BA AND PR PARALLEL TO CA IF PD =12CM FIND BD ×CD
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PQ II BA (Given)
⇒ PQ II BR
Now, in Δ BDR
PQ II BR
By BPT
PD/BD = DQ/DR ...(1)
PR II CA (Given)
⇒ PR II CQ
Now, in Δ PRD
PR II CQ
By BPT
CD/PD = DQ/DR ...(2)
From (1) and (2), we get
PD/BD = CD/PD
⇒ BD × CD = (PD)²
BD × CD = 12²
BD × CD = 144 cm Answer.
⇒ PQ II BR
Now, in Δ BDR
PQ II BR
By BPT
PD/BD = DQ/DR ...(1)
PR II CA (Given)
⇒ PR II CQ
Now, in Δ PRD
PR II CQ
By BPT
CD/PD = DQ/DR ...(2)
From (1) and (2), we get
PD/BD = CD/PD
⇒ BD × CD = (PD)²
BD × CD = 12²
BD × CD = 144 cm Answer.
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