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Juli2301 [7.4K]
3 years ago
12

find the missing variable. if necessary, give the answer in simplest radical form. show your work. solve for question 3).a)

Mathematics
1 answer:
andrew11 [14]3 years ago
7 0
Notice the picture below, the perpendicular line from the right-angle,
makes up 3 similar triangles, including the big one containing the small ones

so, you have three similar triangles, one large, a medium and a small one

now, using proportions for those folks, we end up with

\bf \cfrac{\textit{large side}}{\textit{small side}}\qquad \cfrac{25}{x}=\cfrac{x}{9}
\\\\

\\\\
\cfrac{\textit{small side}}{\textit{medium side}}\qquad \cfrac{y}{16}=\cfrac{9}{y}
\\\\

\\\\
\cfrac{\textit{medium side}}{\textit{large side}}\qquad \cfrac{z}{25}=\cfrac{16}{z}

solve for "x,y and z"

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