ABCD is a trapezium in which ab parallel DC and its diagonals intersect each other at a point O show that AO/BO=CO/DO
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Given,
- ABCD is a trapezium where AB||DC and diagonals AC and BD intersect each other at O.
To prove,
From the point O,draw a line EO touching AD at E,in such a way that,EO||DC||AB
In triangle ADC,we have OE||DC
Therefore, by using basic proportionality theorem
..............(i)
Now,in triangle ABD OE||AB
By using basic proportionality theorem
..............(ii)
From equation (i) and (ii), we get,
Hence Proved.
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