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Halving the Triangle
Age 16 to 18
Challenge Level 
- Draw any triangle P, Q, R.
- Find points A, B and C, one on each side of the triangle (but not at the vertices), such that the area of triangle ABC is one quarter the area of triangle PQR.
- Now find points such that the area of triangle ABC is one half the area of triangle PQR and a method that will give any fraction of the area between one quarter and one.
- How would you adapt your method to give fractions less than one quarter?
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