Abstract
For centuries, mathematicians have been fascinated by the special properties associated with right, acute and obtuse triangles and yet new results continue to arise. See references [1] to [6]. The purpose of this article is twofold. We shall first present some additional interesting facts about triangles. Then we shall leave the reader with some unanswered questions. However, we will assume that all of the triangles used in this paper have integer sides.
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References
Bergum, G.E. and Goldberg, G. “Pythagorean Triples.” Preprint.
Bergum, G.E. and Dahlquist, M.A. “When are A 2 + B 2 and A 2 + (B - NA)2 both perfect squares?” Preprint.
Edwards, H.M. Fermat’s Last Theorem, Springer-Verlag, New York, 1977.
Evans, R. Problem E2687, The American Mathematical Monthly, Vol. 84.10 (1977) p. 820. For the solution see Mauldon, J.G., Vol. 86.9 (1979): page 785.
Gould, H.W. “A Triangle with Integral Sides and Area.” The Fibonacci Quarterly, Vol. 11.1 (1973): pp. 27–39.
Henning, H.B. “Pythagorean Triangles and Related Concepts.” The Fibonacci Quarterly, Vol. 5.2 (1967): pp. 185–192.
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© 1993 Springer Science+Business Media Dordrecht
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Cook, C.K., Bergum, G.E. (1993). Integer Sided Triangles Whose Ratio of Altitude to Base is an Integer. In: Bergum, G.E., Philippou, A.N., Horadam, A.F. (eds) Applications of Fibonacci Numbers. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2058-6_13
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DOI: https://doi.org/10.1007/978-94-011-2058-6_13
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