Online Course Discussion Forum

Math IIB

 
 
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Math IIB
by Andy Chen - Friday, September 27, 2019, 9:21 PM
 

Let triangle ABCABC be a equilateral triangle with length equals to 1. Let point PP be an arbitrary point in the interior of triangle ABCABCDD be point on BC¯¯¯¯¯¯¯¯BC¯EE be point on CA¯¯¯¯¯¯¯¯CA¯, and FF be point on AB¯¯¯¯¯¯¯¯AB¯, so that PD¯¯¯¯¯¯¯¯AB¯¯¯¯¯¯¯¯PD¯‖AB¯PE¯¯¯¯¯¯¯¯BC¯¯¯¯¯¯¯¯PE¯‖BC¯, and PF¯¯¯¯¯¯¯¯AC¯¯¯¯¯¯¯¯PF¯‖AC¯. Find the value of PD+PE+PFPD+PE+PF. for that problem could you give me a hint/ solution because I can't figure it out

 
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Re: Math IIB
by Raymond luo - Monday, November 11, 2019, 10:26 AM
 

Andy you get three trapezoids after you split it up i think. Look at the angles of those trapezoids and try to make something out of them.