1.3 KiB
1.3 KiB
id | challengeType | title |
---|---|---|
5900f46e1000cf542c50ff80 | 5 | Problem 257: Angular Bisectors |
Description
The segments EF, EG and FG partition the triangle ABC into four smaller triangles: AEG, BFE, CGF and EFG. It can be proven that for each of these four triangles the ratio area(ABC)/area(subtriangle) is rational. However, there exist triangles for which some or all of these ratios are integral.
How many triangles ABC with perimeter≤100,000,000 exist so that the ratio area(ABC)/area(AEG) is integral?
Instructions
Tests
tests:
- text: <code>euler257()</code> should return 139012411.
testString: assert.strictEqual(euler257(), 139012411, '<code>euler257()</code> should return 139012411.');
Challenge Seed
function euler257() {
// Good luck!
return true;
}
euler257();
Solution
// solution required