Given: A, B and C are points on OP, OQ and OR respectively such that AB/PQ and AC/PR
Show that BC/QR.
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Answer:
refer attachment for ans
Step-by-step explanation:
In △OPQ, we have
AB∥PQ
Therefore, by using basic proportionality theorem , we have
AP
OA
=
BQ
OO(i)
IN △OPR, we have
AC∥PR
Therefore, by using basic proportionality theorem , we have
CR
OB
=
AP
OA (ii)
Comparing (i)&(ii), we get
BQ
OB
=
CR
OC
Therefore, by using converse of basic proportionality theorem, we get
BC∥QR
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