ABCD is a trapezium in which AB || DC and its diagonals intersect each other at the point O. Show that .AO/BO=CO/DO

Question

KnowledgeBoat · Accepted Answer

Given, ABCD is a trapezium in which AB || DC and its diagonals AC and BD intersect each other at O. We know that, If a line is drawn parallel to one side of a triangle to intersect the other two sides at distinct points, the other two sides are divided in the same ratio. Through O, draw EO || DC || AB. In △ ADC, OE || DC ......(1) In △ ABD, OE || AB ......(2) From (1) and (2), we get : Hence, proved that

Mathematics

ABCD is a trapezium in which AB || DC and its diagonals intersect each other at the point O. Show that .AO/BO=CO/DO

Triangles

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