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Adventitious angles problem: the lonely fractional derived angle
- Source :
- American Mathematical Monthly, 2016, 123(8): 814-816
- Publication Year :
- 2024
-
Abstract
- In the "classical" adventitious angle problem, for a given set of three angles $a$, $b$, and $c$ measured in integral degrees in an isosceles triangle, a fourth angle $\theta$ (the derived angle), also measured in integral degrees, is sought. We generalize the problem to find $\theta$ in fractional degrees. We show that the triplet $(a, b, c) = (45^\circ, 45^\circ, 15^\circ)$ is the only combination that leads to $\theta = 7\frac{1}{2}^\circ$ as the fractional derived angle.
Details
- Database :
- arXiv
- Journal :
- American Mathematical Monthly, 2016, 123(8): 814-816
- Publication Type :
- Report
- Accession number :
- edsarx.2405.02352
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.4169/amer.math.monthly.123.08.814