| Proposed
Problem 5 What type would the four triangles obtained by joining the midpoints of an equilateral triangle be? What type would the four triangles obtained by joining the midpoints of an isosceles triangle be? What type would the four triangles obtained by joining the midpoints of a scalene triangle be? What type would the four triangles obtained by joining the midpoints of an acute-angled triangle be? What type would the four triangles obtained by joining the midpoints of a right-angled triangle be? What type would the four triangles obtained by joining the midpoints of an obtuse-angled triangle be? Conjecture The four triangles obtained are of the same type as the original triangle either according to the lengths of sides or the measures of angles. |
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| Drag free points A, B, or C to realize that the four triangles obtained are of the same type as the original triangle either according to the lengths of sides or the measures of angles. |