Three triangles are drawn one inside another, and each corner of the outer triangle is joined to the common centre through the corners of the inner ones. How many triangles are there in the figure?

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Accepted Answer

12. The 3 nested triangles count. Each side of each triangle also forms a triangle with the centre: 3 × 3 = 9 . The pieces between two levels are four-sided, so the total is 3 + 9 = 12 .

Three triangles are drawn one inside another, and each corner of the outer triangle is joined to the common centre through the corners of the inner ones. How many triangles are there in the figure?

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