RachCop
RachCop
13-03-2017
Mathematics
contestada
Please help me find WZ and UZ. (Show work)
Respuesta :
jdoe0001
jdoe0001
13-03-2017
since those two triangles are similar by AA
then use proportions to get "x"
thus [tex]\bf \cfrac{x+4}{16}=\cfrac{x-08}{WU}[/tex] 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
[tex]\bf c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b\qquad \begin{cases} c=WY\\ a=UY\\ b=WU \end{cases}\\\\ -----------------------------\\\\ \sqrt{(WY)^2-(UY)^2}=WU[/tex]
which will give you [tex]\bf \cfrac{x+4}{16}=\cfrac{x-08}{\boxed{\sqrt{(WY)^2-(UY)^2}}}[/tex]
solve for "x"
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