Mathematics · Geometry and Mensuration
A regular dodecagon (12-sided regular polygon) is inscribed in a circle of radius r cm. By connecting the center of the circle to all 12 vertices, 12 identical triangles are formed. If all 12 triangles are rearranged to form squares of side r cm, and each triangle is used exactly once, find the total number of squares that can be formed and the number of triangles required to form each individual square.
- 13 squares; 2 triangles per square
- 23 squares; 3 triangles per square
- 34 squares; 3 triangles per square
- 43 squares; 4 triangles per square✓
Correct answer
3 squares; 4 triangles per square
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