Maneesha, Ampagouni Divya
(2016)
Integersided
Triangles with perpendicular medians.
At Right Angles, 5 (1).
pp. 2730.
ISSN 25821873
Abstract
I
t is well known (and easy to prove) that given any triangle
ABC, there exists a triangle whose three sides are respectively
congruent to the three medians of △ABC. This triangle is
sometimes called the median triangle of △ABC. (Note that this
is not the same as the medial triangle, which is the triangle whose
vertices are the midpoints of the sides of the triangle. The two
notions must not be confused with each other.) In this note, we
ask for the condition that must be satisfied by the sides of △ABC
in order that its median triangle be rightangled. After obtaining
the condition, we consider the problem of generating integer
triples (a, b, c) that satisfy this condition.
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