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freeCodeCamp/curriculum/challenges/english/08-coding-interview-prep/project-euler/problem-91-right-triangles-with-integer-coordinates.english.md
Kristofer Koishigawa 6cfd0fc503 fix: improve Project Euler descriptions, challenge seeds, and test cases (#38016)
* fix: improve Project Euler descriptions and test case

Improve formatting of Project Euler test descriptions. Also add poker hands array and new test case for problem 54

* feat: add typeof tests and gave functions proper names for first 100 challenges

* fix: continue fixing test descriptions and adding "before test" sections

* fix: address review comments

* fix: adjust grids in 18 and 67 and fix some text that reference files rather than the given arrays

* fix: implement bug fixes and improvements from review

* fix: remove console.log statements from seed and solution
2020-02-28 06:39:47 -06:00

2.1 KiB

id, challengeType, title, forumTopicId
id challengeType title forumTopicId
5900f3c71000cf542c50feda 5 Problem 91: Right triangles with integer coordinates 302208

Description

The points P (x1, y1) and Q (x2, y2) are plotted at integer co-ordinates and are joined to the origin, O(0,0), to form ΔOPQ.

a graph plotting points P (x_1, y_1) and Q(x_2, y_2) at integer coordinates that are joined to the origin O (0, 0)

There are exactly fourteen triangles containing a right angle that can be formed when each co-ordinate lies between 0 and 2 inclusive; that is, 0 ≤ x1, y1, x2, y2 ≤ 2.

a diagram showing the 14 triangles containing a right angle that can be formed when each coordinate is between 0 and 2

Given that 0 ≤ x1, y1, x2, y2 ≤ 50, how many right triangles can be formed?

Instructions

Tests

tests:
  - text: <code>rightTrianglesIntCoords()</code> should return a number.
    testString: assert(typeof rightTrianglesIntCoords() === 'number');
  - text: <code>rightTrianglesIntCoords()</code> should return 14234.
    testString: assert.strictEqual(rightTrianglesIntCoords(), 14234);

Challenge Seed

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

rightTrianglesIntCoords();

Solution

// solution required