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# ds: triangle

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Senior Manager
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ds: triangle [#permalink]  20 May 2005, 17:14
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Intern
Joined: 05 May 2005
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agree
Senior Manager
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gmat2me2 wrote:
D it is

can anybody explain why ABC & MON are similsr triangle?
Director
Joined: 18 Feb 2005
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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
*******************************************************
Director
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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
Senior Manager
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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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