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Homework Help: Area of Rhombhus

  1. Nov 8, 2005 #1
    In triangle ABC, find points X, Y and Z on AB, BC and CA such that AXYZ is a rhombhus. Show that area of the rhombhus AXYZ<= 1/2A(ABC)
     
  2. jcsd
  3. Nov 9, 2005 #2

    HallsofIvy

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    You have posted a number of questions without any indication what, if anything, you have done on it yourself. We will not do your homework for you! We will try to give hints but we need to know what you have tried so we can guage your understanding and see where you are going wrong.
     
  4. Nov 9, 2005 #3
    i tried with the trapezium BXZY and CYXZ. but couldn't reah nowhere. after that a close look made me understand thatAY is the angle bisectors and XZ is its pependicular bisector. but i don't know how to use this property to move on. but i wrote all ratios i willget like- AB/AC = BY/CY. but the need is AX + AZ + 1/2(AB + AC)
     
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