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In the given figure, AB || DC, find the value of x.
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- x = 8
- x = 9
- x = 8 or 9
- x = 10
- None of these
Correct Option: C
As we know the diagonals of a trapezium divide each other proportionally
| ∴ | AO | = | BO |
| OC | OD |
| 3x - 19 | = | x - 3 |
| x - 5 | 3 |
⇒ 3(3x - 19) = ( x - 3 ) ( x - 5 )
⇒ 9x - 57 = x2 - 8x +15
⇒ x2 - 17x + 72 = 0
⇒ x = 8 or x = 9
