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Math IIB

 
 
ChenAndy的头像
Math IIB
ChenAndy - 2019年09月27日 Friday 21:21
 

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

 
luoRaymond的头像
Re: Math IIB
luoRaymond - 2019年11月11日 Monday 10:26
 

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.