Monday, January 4, 2010

Fox 215


Don't belittle yourself.
Look at the sun,so far away,
how unreachable.
Yet, no matter how little it is,
each raindrop carries the sun.
--- Himalayan Fox


3 comments:

  1. This is not attempted yet? It is not that hard!

    ReplyDelete
  2. Answer is D.

    S=A+B+C, where S total area and A, B and C are areas of shadows figures at side a, b and c.

    A = (pi/2)*[(a/2)^2-(a1/2)^2+(a2/2)^2]
    B = (pi/2)*[(b/2)^2-(b1/2)^2+(b2/2)^2]
    C = (pi/2)*[(c/2)^2-(c1/2)^2+(c2/2)^2]

    h1^2 + c1^2 = h3^2 + a2^2
    h1^2 + c2^2 = h2^2 + b1^2
    h2^2 + b2^2 = h3^2 + a1^2, by Pythagoras T. where h1, h2 and h3 are distance of point P to side c, b and a.

    -c1^2+c2^2-b1^2+b2^2-a1^2+a2^2 = 0

    a=b=c=1
    S=3*(pi/2)*1/4 = 3*pi/8.

    MIGUE.

    ReplyDelete
  3. S = 3 identical semi-circles (radius=1/2) - A(ABC) - A(ABC) <-- ses Fox 213 (http://8foxes.blogspot.com/2009/12/fox-213.html)

    S = 3 identical semi-circles (radius=1/2)
    S = 3*(pi * (1/2)^2)/2
    S = 3 * pi * 1/4 * 2
    S = 3pi/8

    ReplyDelete