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

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

The triangles are similar. If PN = 12, QP = 8, and PM = 17, find QR.-example-1
User DamirDiz
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1 Answer

5 votes

\Delta QRN\sim\Delta PMN\\\\(|QR|)/(|QN|)=(|PM|)/(|PN|)\\\\\\(|QR|)/(8+12)=(17)/(12)\\\\(|QR|)/(20)=(17)/(12)\ \ \ /\cdot20\\\\|QR|=(17)/(12)\cdot20\\\\|QR|=(17)/(3)\cdot5\\\\|QR|=(85)/(3)\\\\|QR|=28(1)/(3)
User Pauline
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