Maths

M and N are the midpoints of opposite sides of square ABCD.A point is selected at random in the square.find the probability that it lies in traingle ADM but not in triangle ADN

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  1. I picked M as the midpoint of AB, and N as the midpoint of DC
    let P be the intersection of AN and DM

    in triangle ADM but not in triangle ADN
    --> triangle AMP

    by simple ratio calculations, the area of triangle AMP = (1/8)the square.

    so prob(of your event) = 1/8

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