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Please help me find WZ and UZ. (Show work)

Please help me find WZ and UZ. (Show work)-example-1
User JensG
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1 Answer

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since those two triangles are similar by AA
then use proportions to get "x"

thus
\bf \cfrac{x+4}{16}=\cfrac{x-08}{WU} hmmm wait just a second? what the dickens is WU anyway?

well, let's take a look at the triangle on the right-side
is a right-triangle, has a 90° angle

so, just use the pythagorean theorem to get WU


\bf c^2=a^2+b^2\implies √(c^2-a^2)=b\qquad \begin{cases} c=WY\\ a=UY\\ b=WU \end{cases}\\\\ -----------------------------\\\\ √((WY)^2-(UY)^2)=WU

which will give you
\bf \cfrac{x+4}{16}=\cfrac{x-08}{\boxed{√((WY)^2-(UY)^2)}}

solve for "x"
User Osvaldo Colina
by
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