Three non-parallel edges of a rectangular solid are proportional to the number 3, 4, 5. One diagonal of the solid is 25√2. Find the length of the shortest side.
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Let x be one edge ...let 4/3(x) be another edge....let (5/3)x be another edge
So we have, the length of a diagonal =
√[x^2 + [(4/3)x]^2 + [(5/3)x]^2] = 25√2
x√(1 + 16/9 + 25/9) = 25√2
x = (25√2) / √(1 + 16/9 + 25/9) = about 15
And this is the shortest edge (side)....
+90 
