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The angles in the trapezium are 36o, 36o, 144o and 144o which are all square numbers.
The angles in the triangle are 16o, 64o and 100o which are all square numbers.
The angles in the quadrilateral are 16o, 100o , 144o and 100o which are all square numbers.
Can you draw one of the polygons above such that the perimeter, measured in cm, is a square number?
Teacher, do your students have
access to computers?
Here is the URL for a concise version of this page without comments or answers.
A spreadsheet may assist students investigating totals of square numbers.
The free software GeoGebra may assist students drawing the shapes.
Maths is Important!
"Mathematics equips pupils with uniquely powerful ways to describe, analyse and change the world. It can stimulate moments of pleasure and wonder for all pupils when they solve a problem for the first time, discover a more elegant solution, or notice hidden connections. ...
Mathematics is a creative discipline. The language of mathematics is international. The subject transcends cultural boundaries and its importance is universally recognised. Mathematics has developed over time as a means of solving problems and also for its own sake."