1.4 KiB
1.4 KiB
id | challengeType | title |
---|---|---|
5900f41e1000cf542c50ff30 | 5 | Problem 177: Integer angled Quadrilaterals |
Description
For example, at vertex A, the two angles are CAD, CAB. We call such a quadrilateral for which all eight corner angles have integer values when measured in degrees an "integer angled quadrilateral". An example of an integer angled quadrilateral is a square, where all eight corner angles are 45°. Another example is given by DAC = 20°, BAC = 60°, ABD = 50°, CBD = 30°, BCA = 40°, DCA = 30°, CDB = 80°, ADB = 50°. What is the total number of non-similar integer angled quadrilaterals? Note: In your calculations you may assume that a calculated angle is integral if it is within a tolerance of 10-9 of an integer value.
Instructions
Tests
tests:
- text: <code>euler177()</code> should return 129325.
testString: assert.strictEqual(euler177(), 129325, '<code>euler177()</code> should return 129325.');
Challenge Seed
function euler177() {
// Good luck!
return true;
}
euler177();
Solution
// solution required