Answer:
D
Step-by-Step Explanation:
Please refer to the attachment.
As shown, when deconstructing the (largest) right triangle, we get two similar triangles.
Remember that corresponding sides of similar are proportional. Therefore, we can write the following proportion:
[tex]\displaystyle \frac{v}{w+z}=\frac{z}{v}[/tex]
Cross-multiply to produce:
[tex]z(w+z)=v^2[/tex]
And taking the square root of both sides gives:
[tex]v=\sqrt{z(w+z)}[/tex]
Therefore, our answer is D.
