ds: triangle

Question

please explain your logic

olivebaby · Answer

agree <img src="{SMILIES_PATH}/icon_cool.gif" alt="8-)" title="Cool" />

mirhaque · Answer

can anybody explain why ABC & MON are similsr triangle?

gmat2me2 · Answer

*********************************************************
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
*******************************************************

sparky · Answer

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

HowManyToGo · Answer

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

ds: triangle

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