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ds: triangle

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mirhaque
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ds: triangle [#permalink] New post   20 May 2005, 18:14
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A
B
C
D
E

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please explain your logic



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Re: ds: triangle [#permalink] New post   20 May 2005, 18:29
agree 8-)
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Re: ds: triangle [#permalink] New post   20 May 2005, 18:30
gmat2me2 wrote:
D it is


can anybody explain why ABC & MON are similsr triangle?
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Re: ds: triangle [#permalink] New post   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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Re: ds: triangle [#permalink] New post   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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Re: ds: triangle [#permalink] New post   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



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Re: ds: triangle [#permalink]
20 May 2005, 23:35
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