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Question: Trapeziums

Please assist in explaining how to solve this problem solving question.

An equilateral triangle, with side of length 3n for some natural number n, is made of smaller equilateral triangles. See the

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Answer #1

This can be proved by induction.

The first step that is for n=2, the result is already proved.

The induction step will include all the squares with non overlapping trapeziums shown below.

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