Can regular triangles fit together at a point without any gap? How many of them fit together?
Yes, regular triangles (equilateral triangles) can fit together at a point without any gap.
Calculation: Each interior angle of an equilateral triangle = 60° Number of triangles = 360° ÷ 60° = 6
∴ Six equilateral triangles fit together perfectly around a point with no gaps and no overlaps.
Explanation
The chapter demonstrates that regular triangles (equilateral triangles) tessellate perfectly. When fitted around a point, six equilateral triangles come together with no gaps and no overlaps, as each angle of an equilateral triangle is 60°, and ° = 360°.
Solution Steps
Each interior angle of an equilateral triangle = 60°
Number of triangles = 360° ÷ 60° = 6
Six equilateral triangles fit together perfectly around a point with no gaps and no overlaps.