CBSE NCERT Solutions Chapter 6 Triangles Exercise 6.3 Question 3
3. Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at the point O. Using a similarity criterion for two triangles, show that
Solution:
Given: AB || DC. Diagonals of trapezium ABCD intersect at O.
To Prove:
Proof:
{Alternate Interior angles}
{Alternate Interior angles}
{Vertically Opposite angles}
Therefore, by AAA similarity criterion,
~
Therefore,
Hence Proved
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