Question

In the figure, If AB||CD, find the value of x.

Answer 1

In two similar triangles the ratio of corresponding sides is the same or equal.

Answer 2

Answer:

No solution

Step-by-step explanation:

Given: AB||CD

To find: x

Construction: Draw a parallel line to AB through O to meet AD at E.

Figure: Please see the attachment.

Calculation:

In ΔABD, AB||EO

$\dfrac{DE}{EA}=\dfrac{x-3}{x+3}$ --------(1)      (Using Basic Proportionality theorem)

In ΔACD, DC||EO

$\dfrac{DE}{EA}=\dfrac{x-3}{2x}$ --------(2)       (Using Basic Proportionality theorem)

Using eq(1) and eq(2)

$\dfrac{x-3}{x+3}=\dfrac{x-3}{2x}$

$2x=x+3$

$x=3$

x=3 is not possible for x. No solution.