Wednesday, June 23, 2010

Fox 124 - Solution

Bob Ryden provided this solution to Fox 124.


  1. I suspect there should be a little simplier solution than this one. We'll see...

  2. Name the blue squares A, B, C, D from left to right, pink squares E, F and yellow square G.

    All right triangles are similar. C=D because they have identical legs. A is to B as C is to D by a factor k, therefore k^2=4 or k=2.

    Now the side of pink squares is the sum of their two adjacent blue squares' sides (same reasoning as above why C=D). Hence E side is 6 (4+2), F side is 3 (2+1) and G side is 9 (6+3).