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  • 22-05-2018
  • Mathematics
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What is the value of x?

What is the value of x class=

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Luv2Teach
Luv2Teach Luv2Teach
  • 06-07-2018
Use the geometric mean involving altitudes.  That will be [tex] \frac{ST}{RT}= \frac{RT}{QT} [/tex].  Filling in our values for the legs of that triangle our proportion then looks like this:  [tex] \frac{9}{x}= \frac{x}{16} [/tex].  Cross multiply to get [tex] x^{2} =144[/tex].  Taking the principle value of that square root, we get that x = 12.
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