Answer :

Answer:

[tex] d = \frac{ac}{b + c} [/tex]

Step-by-step explanation:

Since ∆XYZ is similar to ∆WYP, their side lengths are proportional to each other. Therefore,

a/d = (b + c)/c

Cross multiply

d(b + c) = a*c

Divide both sides by (b + c)

[tex] d = \frac{ac}{b + c} [/tex]

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