Answer:
a = 7.2
Step-by-step explanation:
The figure has been re-labelled and attached to this response.
From the figure, the larger right triangle DAB and the small right triangle BCA are similar. This is because;
i. They have two corresponding congruent angles which are the right angle
and angle B
Therefore, we can say that;
[tex]\frac{|DB|}{|BA|} = \frac{|AB|}{|BC|}[/tex]
[tex]\frac{13}{a} = \frac{a}{4}[/tex]
Cross multiply
a x a = 13 x 4
a² = 52
a = √52
a = 7.2
Note: The figure showing the similar triangles has also been attached to this response.
