947 B
947 B
id | title | challengeType | forumTopicId | dashedName |
---|---|---|---|---|
5900f41c1000cf542c50ff2f | Problem 176: Right-angled triangles that share a cathetus | 5 | 301811 | 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.
--hints--
trianglesSharingCathetus()
should return 96818198400000
.
assert.strictEqual(trianglesSharingCathetus(), 96818198400000);
--seed--
--seed-contents--
function trianglesSharingCathetus() {
return true;
}
trianglesSharingCathetus();
--solutions--
// solution required