CBSE NCERT Solutions Chapter 6 Triangles Exercise 6.2 Question 6
6. In fig, A, B and C are points on OP, OQ and OR respectively such that AB
PQ and AC
PR. Show that BC
QR.
Solution:
In
POQ, it is given that AB
PQ.
Therefore, by Basic Proportionality theorem, we can say that
(1)
In
POR, It is given that AC
PR.
Therefore, by Basic Proportionality theorem, we can say that
(2)
From (1) and (2), we can say that
Therefore, by the Converse of Basic Proportionality theorem, we can say that BC
QR.
Hence Proved
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