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  # ds: triangle
  
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  Senior Manager
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  20 May 2005, 18:14
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  20 May 2005, 18:29
  agree
  Senior Manager
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  20 May 2005, 18:30
  gmat2me2 wrote:
  D it is
  
  can anybody explain why ABC & MON are similsr triangle?
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  20 May 2005, 18:41
  mirhaque wrote:
  gmat2me2 wrote:
  D it is
  
  can anybody explain why ABC & MON are similsr triangle?
  
  *********************************************************
  Properties of Similar triangles:
  
  2 triangles are similar if
  
  1)Ratio of sides = ratio of heights = ratio of circum radius = ratio of inradius = ratio of perpendicular bisetors = ratio of circum radii
  
  2) Ratio of Areas = Ratio of squares of corresponding sides
  *******************************************************
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  20 May 2005, 21:04
  mirhaque wrote:
  gmat2me2 wrote:
  D it is
  
  can anybody explain why ABC & MON are similsr triangle?
  
  All you have to notice is that MN is parallel to AC (same for other sides of MON)
  
  If you draw a hight from any point (A, B, or C) it will be pependicular to corresponding side of MON, and that side will dive the height in halfs
  
  When I first looked at the question, i was a bit puzzeled, but a sip of wine made me realize the truth
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  20 May 2005, 23:35
  mirhaque wrote:
  gmat2me2 wrote:
  D it is
  
  can anybody explain why ABC & MON are similsr triangle?
  
  Please note , the line joining the midpoints of two sides is parallel to and half the third side, hence MN || AC , ON || AB AND MO || BC.
  
  if 3 sides of a triangle are parallel to the 3 sides of another triangle , they are similar.
  
  HMTG
  20 May 2005, 23:35
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