Jul 19, 2012 Thread starter #1 W Wilmer In Memoriam Mar 19, 2012 376 4 right triangles; short leg - longer leg - hypotenuse : a - b - c d - e - c d - f - b a - f - e HINT: a = 448 (which to my surprise is lowest case)
4 right triangles; short leg - longer leg - hypotenuse : a - b - c d - e - c d - f - b a - f - e HINT: a = 448 (which to my surprise is lowest case)
Sep 15, 2012 #2 Sudharaka Well-known member MHB Math Helper Feb 5, 2012 1,621 Wilmer said: 4 right triangles; short leg - longer leg - hypotenuse : a - b - c d - e - c d - f - b a - f - e HINT: a = 448 (which to my surprise is lowest case) Click to expand... Hi Wilmer, So I think the challenge here is to find the lengths of \(a,b,c,d,e\mbox{ and }f\). Isn't? I don't know if there's a unique answer to this question. But it seems to me that, \[a=3,\,b=4,\,c=5,\,d=1,\,e=\sqrt{24},\,f=\sqrt{15}\] satisfies all the restrictions that you have imposed. Kind Regards, Sudharaka.
Wilmer said: 4 right triangles; short leg - longer leg - hypotenuse : a - b - c d - e - c d - f - b a - f - e HINT: a = 448 (which to my surprise is lowest case) Click to expand... Hi Wilmer, So I think the challenge here is to find the lengths of \(a,b,c,d,e\mbox{ and }f\). Isn't? I don't know if there's a unique answer to this question. But it seems to me that, \[a=3,\,b=4,\,c=5,\,d=1,\,e=\sqrt{24},\,f=\sqrt{15}\] satisfies all the restrictions that you have imposed. Kind Regards, Sudharaka.
Sep 15, 2012 Thread starter #3 W Wilmer In Memoriam Mar 19, 2012 376 Sorry....all lengths are integers. Forgot to mention that. Lowest I could find: (a, b, c, d, e, f) = (448, 975, 1073, 495, 952, 840) And next one is: (840,3875,3965,1364,3723,3627). I was surprised at how few there are... Last edited: Sep 15, 2012
Sorry....all lengths are integers. Forgot to mention that. Lowest I could find: (a, b, c, d, e, f) = (448, 975, 1073, 495, 952, 840) And next one is: (840,3875,3965,1364,3723,3627). I was surprised at how few there are...