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Circles in a Triangle

In this activity, students are presented with a series of different sized equilateral triangles each containing a number of circles, each of radius one unit. Students are required to find the exact area of each triangle.

The activity is extended into three dimensions by considering the volume of shapes packed with spheres.

Pythagoras' Theorem, trigonometry, surds, sequences and algebraic proof are needed for success in this task.

The formula for the nth term of a triangle number is needed from the start.

The resource includes a student hand out, teachers' notes and answers and is part of the collection of resources from Churchill Maths.

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