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Problem 39


Problem 39


Integer right triangles

If p is the perimeter of a right angle triangle with integral length sides, {a,b,c}, there are exactly three solutions for p = 120.

{20,48,52}, {24,45,51}, {30,40,50}

For which value of p ≤ 1000, is the number of solutions maximised?


整数边长直角三角形

若三边长{a,b,c}均为整数的直角三角形周长为p,当p = 120时,恰好存在三个不同的解:

{20,48,52}, {24,45,51}, {30,40,50}

在所有的p ≤ 1000中,p取何值时有解的数目最多?