Posted by andy on Monday, February 1, 2010 at 9:25am.
you have similar triangles, so set up a ratio
(x-4)/4 = 3/x
x^2 - 4x = 12
x^2 - 4x - 12 = 0
(x-6)(x+2)= 0
x = 6 or x = -2, but x = -2 makes no sense
so x = 6
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