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Inscribed square in a triangle
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<h2 id="references">References</h2> <ol> <li id="fn:1"><p>Emch, Arnold (1916), "On some properties of the medians of closed continuous curves formed by analytic arcs", American Journal of Mathematics, 38 (1): 6–18, doi:10.2307/2370541, JSTOR 2370541, MR 1506274 <a href="/wiki/Arnold_Emch" target="_blank">/wiki/Arnold_Emch</a> <a href="#fnref:1" class="footnote-back-ref">↩</a></p></li> <li id="fn:2"><p>Eggleston, H. G. (1958), "Figures inscribed in convex sets", The American Mathematical Monthly, 65: 76–80, doi:10.1080/00029890.1958.11989144, JSTOR 2308878, MR 0097768 <a href="/wiki/The_American_Mathematical_Monthly" target="_blank">/wiki/The_American_Mathematical_Monthly</a> <a href="#fnref:2" class="footnote-back-ref">↩</a></p></li> <li id="fn:3"><p>Gardner, Martin (September 1997), "Some surprising theorems about rectangles in triangles", Math Horizons, 5 (1): 18–22, doi:10.1080/10724117.1997.11975023 <a href="/wiki/Martin_Gardner" target="_blank">/wiki/Martin_Gardner</a> <a href="#fnref:3" class="footnote-back-ref">↩</a></p></li> <li id="fn:4"><p>Conway, J. H.; Guy, R. K. (1996), The Book of Numbers, New York: Springer-Verlag, p. 206 <a href="/wiki/John_Horton_Conway" target="_blank">/wiki/John_Horton_Conway</a> <a href="#fnref:4" class="footnote-back-ref">↩</a></p></li> <li id="fn:5"><p>Gardner, Martin (September 1997), "Some surprising theorems about rectangles in triangles", Math Horizons, 5 (1): 18–22, doi:10.1080/10724117.1997.11975023 <a href="/wiki/Martin_Gardner" target="_blank">/wiki/Martin_Gardner</a> <a href="#fnref:5" class="footnote-back-ref">↩</a></p></li> <li id="fn:6"><p>Bailey, Herbert; Detemple, Duane (1998), "Squares inscribed in angles and triangles", Mathematics Magazine, 71 (4): 278–284, doi:10.1080/0025570X.1998.11996652, JSTOR 2690699, MR 1573335 <a href="/wiki/Mathematics_Magazine" target="_blank">/wiki/Mathematics_Magazine</a> <a href="#fnref:6" class="footnote-back-ref">↩</a></p></li> <li id="fn:7"><p>Alsina, Claudi; Nelsen, Roger B. (2020), "Theorem 9.4.1", A Cornucopia of Quadrilaterals, Dolciani Mathematical Expositions, vol. 55, American Mathematical Society, p. 193, ISBN 9781470453121 <a href="9781470453121" target="_blank">9781470453121</a> <a href="#fnref:7" class="footnote-back-ref">↩</a></p></li> <li id="fn:8"><p>Bailey, Herbert; Detemple, Duane (1998), "Squares inscribed in angles and triangles", Mathematics Magazine, 71 (4): 278–284, doi:10.1080/0025570X.1998.11996652, JSTOR 2690699, MR 1573335 <a href="/wiki/Mathematics_Magazine" target="_blank">/wiki/Mathematics_Magazine</a> <a href="#fnref:8" class="footnote-back-ref">↩</a></p></li> <li id="fn:9"><p>Oxman, Victor; Stupel, Moshe (2013), "Why are the side lengths of the squares inscribed in a triangle so close to each other?", Forum Geometricorum, 13: 113–115, MR 3071656 <a href="/wiki/MR_(identifier)" target="_blank">/wiki/MR_(identifier)</a> <a href="#fnref:9" class="footnote-back-ref">↩</a></p></li> </ol>