Community Mathematics Centre, CoMaC
(2016)
Octagon in a square.
At Right Angles, 5 (1).
pp. 7173.
ISSN 25821873
Abstract
In the November 2015 issue of AtRiA, the following
geometrical puzzle had been posed. An octagon is constructed
within a square by joining each vertex of the square to the
midpoints of the two sides remote from that vertex. Eight line
segments are thus drawn within the square, creating an octagon
(shown shaded). The following two questions had been posed: (i) Is
the octagon regular? (ii) What is the ratio of the area of the octagon
to that of the square?
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