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ABCD is a trapezium in which CD II AB and its diagonals intersect at O. If AO=(5x-7)cm, OC=(2x+1)cm, DO=(7x-5)cm and OB=(7x+1)cm, find the value of x.

ABCD is a trapezium in which CD II AB and its diagonals intersect at O. If AO=(5x-7)cm, OC=(2x+1)cm, DO=(7x-5)cm and OB=(7x+1)cm, find the value of x.
 

Grade:10

1 Answers

Nishant Vora IIT Patna
askIITians Faculty 2467 Points
7 years ago
here we will use similarity of traiangles

\Delta OAB \sim \Delta OCD
\frac{OA}{OC} = \frac{OB}{OD}

Now find x from here

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