Teacher notes on an investigation on areas of triangles, also covering topics such as simplifying surds, Pythagoras’ Theorem, congruency and algebraic formulae.
The problem the students must solve is ‘When the perimeter of a triangle is 20 cm and it is an isosceles triangle, how many possible triangles can there be?’. Students find this out through working out the area of each possible triangle and seeing a pattern.
An extension is also included in this resource which gets pupils to work out the total possible number of any triangle (not just isosceles) with a perimeter of 20 cm. Students then work to find a link between the base length of the triangle and the number of possible triangles which can be drawn with that base length.
A worksheet is included for each activity as well as notes and guidance on how to conduct the investigation with pupils.
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