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Similar Sides Sought (Posted on 2005-06-20) Difficulty: 3 of 5
Find two similar triangles with sides (A,B,C) and (A,B,D), such that D-C=20141.

See The Solution Submitted by Old Original Oskar!    
Rating: 3.5000 (2 votes)

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Solution re: Almost there...I am there | Comment 5 of 6 |
(In reply to Almost there... by Federico Kereki)

Actually R does not need to be an integer, R being a rational would suffice.  Let R=N/D where N and D are integers.  Then the equation C(R-1)=11*1831 becomes C(N-D)=D*11*1831. N=30 and D=19 is a solution to the latter equation.  Then C=6859, A=10830, B=17100, D=27000 and R=30/19.

  Posted by Brian Smith on 2005-06-24 23:48:10
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