freeCodeCamp/problem-195-inscribed-circles-of-triangles-with-one-angle-of-60-degrees.english.md at 22afc2a0ca354a1eb11919c51058918d7e953e22

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mrugesh 22afc2a0ca feat(learn): python certification projects (#38216 )

Co-authored-by: Oliver Eyton-Williams <ojeytonwilliams@gmail.com>
Co-authored-by: Kristofer Koishigawa <scissorsneedfoodtoo@gmail.com>
Co-authored-by: Beau Carnes <beaucarnes@gmail.com>

2020-05-27 13:19:08 +05:30

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id, challengeType, isHidden, title, forumTopicId

id	challengeType	isHidden	title	forumTopicId
5900f4311000cf542c50ff43	5	false	Problem 195: Inscribed circles of triangles with one angle of 60 degrees	301833

Description

Let's call an integer sided triangle with exactly one angle of 60 degrees a 60-degree triangle. Let r be the radius of the inscribed circle of such a 60-degree triangle. There are 1234 60-degree triangles for which r ≤ 100. Let T(n) be the number of 60-degree triangles for which r ≤ n, so T(100) = 1234, T(1000) = 22767, and T(10000) = 359912.

Find T(1053779).

Instructions

Tests

tests:
  - text: <code>euler195()</code> should return 75085391.
    testString: assert.strictEqual(euler195(), 75085391);

Challenge Seed

function euler195() {
  // Good luck!
  return true;
}

euler195();

Solution

// solution required

1.1 KiB Raw Blame History