Project Euler > Problem 176 > Right-angled triangles that share a cathetus. (Java Solution)


The four right-angled triangles with sides (9,12,15), (12,16,20), (5,12,13) and (12,35,37) all have one of the shorter sides (catheti) equal to 12. It can be shown that no other integer sided right-angled triangle exists with one of the catheti equal to 12.

Find the smallest integer that can be the length of a cathetus of exactly 47547 different integer sided right-angled triangles.



The solution may include methods that will be found here: .

public interface EulerSolution{

public String run();

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