Inside a square, a second square is drawn by joining the midpoints of its sides, and both diagonals of the outer square are drawn. How many triangles are there?

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Accepted Answer

20. 8 smallest triangles (each corner piece is split in two by a diagonal), the 4 corner pieces themselves, 4 triangles standing on a side with their apex at the centre, and 4 half-squares: 8 + 4 + 4 + 4 = 20 .

Inside a square, a second square is drawn by joining the midpoints of its sides, and both diagonals of the outer square are drawn. How many triangles are there?

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