Question

Help me if you truly know this...

Answer 1

Answer: 3

Explanation:

Triangle DCB is similar to Triangle ECA by AAA.

Since EA and DB are parallel lines, that makes Angle CDB = Angle CEA and Angle CBD = Angle CAE because they are corresponding angles.

Since the two triangles are parallel, we can set up a ratio.

`(CD)/(CE) = (CB)/(CA)`

Now we plug in the numbers given.

`(6)/(8) = (9)/(CA)`

Now we can cross multiply

6CA = 72

Therefore, CA = 12.

AB = CA - CB

So AB = 12 - 9

AB = 3