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storchak [24]
2 years ago
12

In the figure shown the value of a is equal to

Mathematics
1 answer:
Vikentia [17]2 years ago
6 0

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<em> the right angle</em>

and <em>angle B</em>

Therefore, we can say that;

\frac{|DB|}{|BA|} = \frac{|AB|}{|BC|}

\frac{13}{a} = \frac{a}{4}

<em>Cross multiply</em>

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.

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