My Math Forum triangle problem

 Geometry Geometry Math Forum

January 5th, 2017, 07:07 AM   #1
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Joined: Oct 2015
From: rotterdam

Posts: 8
Thanks: 1

triangle problem

Who can explain to me why CP/PA = Area CPQ/Area PAQ?

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 January 5th, 2017, 08:48 AM #2 Senior Member     Joined: Mar 2011 From: Chicago, IL Posts: 214 Thanks: 77 The triangles CPQ and PAQ have the same height (let's call it h). $\displaystyle A_{CPQ}=0.5\cdot CP\cdot h$ $\displaystyle A_{PAQ}=0.5\cdot PA\cdot h$ Thanks from dedemsvaart
 January 5th, 2017, 08:50 AM #3 Senior Member     Joined: Feb 2010 Posts: 673 Thanks: 125 Draw a segment from Q perpendicular to AC. Now calculate the areas of both triangles and divide. Thanks from dedemsvaart

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