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Sagot :

Answer: 3

Step-by-step 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.

[tex]\frac{CD}{CE} = \frac{CB}{CA}[/tex]

Now we plug in the numbers given.

[tex]\frac{6}{8} = \frac{9}{CA}[/tex]

Now we can cross multiply

6CA = 72

Therefore, CA = 12.

AB = CA - CB

So AB = 12 - 9

AB = 3

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