Question

ABCD is a trapezium in which AB || DC and its diagonals intersect
each other at a point 0. Show that :
АО СО
BO DO​

Answer 1

Answer:

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Answer 2

Hey there!

Basic proportionality theorem:

If a line is drawn parallel to one side of the triangle , Then the other sides are divided in the same ratio.

Here, We prove that

In trapezium ABCD, AO/BO = CO/DO

using the Basic proportionality theorem.

We constructed OX || AB and proceeded with the problem.

Check out the attachment for detailed explanation.

Hope helped!