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A triangular exploration

Published online by Cambridge University Press:  13 October 2021

Prithwijit De and
Gerry Leversha
Prithwijit De
Affiliation:
Homi Bhabha Centre for Science Education, Tata Institute of Fundamental Research, Mumbai - 400088, India, e-mail: prithwijit@hbcse.tifr.res.in / de.prithwijit@gmail.com
Gerry Leversha
Affiliation:
15 Maunder Road, Hanwell, London W7 3PN, e-mail: g.leversha@btinternet.com

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In this Article we study the following problem: Let ΔABC be an acute-angled triangle. Let the points D, E, F on the sides BC, CA and AB, respectively, be such that AD is the median from A, BE is the internal angle bisector of ∠ABC, and CF is the altitude from C. This is shown in Figure 1.

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Articles
Information
The Mathematical Gazette , Volume 105 , Issue 564 , November 2021, pp. 501 - 506
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© The Mathematical Association 2021