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id	challengeType	title
5900f41c1000cf542c50ff2f	5	Problem 176: Right-angled triangles that share a cathetus

Description

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.

Instructions

Tests

tests:
  - text: <code>euler176()</code> should return 96818198400000.
    testString: assert.strictEqual(euler176(), 96818198400000);

Challenge Seed

function euler176() {
  // Good luck!
  return true;
}

euler176();

Solution

// solution required

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