in the given figure , if ts parallel qr and TV parallel qs , then prove that pv/vs = ps/sr
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Given :- in the given figure , if TS parallel QR and TV parallel QS , then prove that PV/VS = PS/SR ?
Solution :-
In ∆PQR, we have given that, TS || QR .
so,
→ PT / TQ = PS/SR { By BPT theorem. } ---------- Eqn.(1)
now, in ∆PQS, given that, TV || QS .
so,
→ PT / TQ = PV/VS { By BPT theorem. } --------- Eqn.(2)
form Eqn.(1) and Eqn.(2) we get,
→ PS/SR = PV/VS
or,
→ PV/VS = PS/SR (Proved) .
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