CBSE NCERT Solutions Chapter 6 Triangles Exercise 6.2 Question 9
9. ABCD is a trapezium in which AB
DC and its diagonals intersects each other at the point O. Show that
DC in trapezium ABCD.To Prove:
Construction: Draw line EF passing through O parallel to AB. A line parallel to AB is also parallel to DC.
Proof: In
ADC, EO
DC.
Therefore, by Basic Proportionality Theorem, we get
(1)
In
ABD, EO
AB.
Therefore, by Basic Proportionality Theorem, we get
(2)
Therefore, from (1) and (2), we get
Hence Proved
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