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What is the value of c in the figure below? If necessary, round your answer to the near test tenth of a unit

What is the value of c in the figure below? If necessary, round your answer to the-example-1
User Jobsamuel
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Ok, so

We got the next triangle:

We know that ∆CDA ~ ∆CAB ~ ∆DBA. This means that triangles CDA and ADB are congruent.

Knowing this, we could make the next relation applying the geometric mean theorem:


(15)/(x)=(x)/(4)

Now, we multiply by cross:


\begin{gathered} (15)(4)=(x)(x) \\ 60=x^2 \\ \sqrt[]{60}=x \\ 7.7\cong x \end{gathered}

Finally, x measures 7.7.

What is the value of c in the figure below? If necessary, round your answer to the-example-1
User Vhd
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