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What is the measure of n?5m15nn = [?]V==Give your answer in simplest form.Enter

What is the measure of n?5m15nn = [?]V==Give your answer in simplest form.Enter-example-1

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5 votes

In a diagram,

Thus, triangles ABC, ADB, and BDC are similar and the ratio between their corresponding sides is constant; therefore,


n=DB,AD=5,DC=15,AB=m,AC=20

Hence,


\Rightarrow(DB)/(DC)=(AD)/(BD)=(BA)/(CB)
\begin{gathered} \Rightarrow(n)/(15)=(5)/(n) \\ \Rightarrow n^2=5\cdot15=75 \\ \Rightarrow n^2=75 \\ \Rightarrow n=\sqrt[]{75}=5\sqrt[]{3} \\ \Rightarrow n=5\sqrt[]{3} \end{gathered}

Thus, the answer is 3, n=5sqrt3

What is the measure of n?5m15nn = [?]V==Give your answer in simplest form.Enter-example-1
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