The triangles are similar. If PN = 12, QP = 8, and PM = 17, find QR.

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23-04-2014
Mathematics

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The triangles are similar. If PN = 12, QP = 8, and PM = 17, find QR.

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Аноним Аноним · Answer 1 · 2014-04-26T08:32:58-04:00

Аноним Аноним

26-04-2014

[tex]\Delta QRN\sim\Delta PMN\\\\\frac{|QR|}{|QN|}=\frac{|PM|}{|PN|}\\\\\\\frac{|QR|}{8+12}=\frac{17}{12}\\\\\frac{|QR|}{20}=\frac{17}{12}\ \ \ /\cdot20\\\\|QR|=\frac{17}{12}\cdot20\\\\|QR|=\frac{17}{3}\cdot5\\\\|QR|=\frac{85}{3}\\\\|QR|=28\frac{1}{3}[/tex]

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