Jha, Shreyan
(2019)
Explorations on triangles with integer sides.
At Right Angles (5).
pp. 4142.
ISSN 25821873
Abstract
In the July 2018 issue of
At Right Angles, author
A S Rajagopalan had
explored the number of
triangles with integer sides.
He had shown that if two
of the sides are the integers
a and b, with a > b, then
the third side c can take
only integer values from
a + b – 1 to a – b + 1,
leading to the conclusion
that there can only be
2b – 1 such triangles.
In this article, student
Shreyan develops a
formula for the number
of triangles (a, b, c) with
integer sides when b is
fixed and a ≤ b ≤ c.
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