Triangles
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problemFavouriteConstructing Triangles
Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?
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problemFavouriteShapely Pairs
A game in which players take it in turns to turn up two cards. If they can draw a triangle which satisfies both properties they win the pair of cards. And a few challenging questions to follow...
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problemFavouriteProperty Chart
A game in which players take it in turns to try to draw quadrilaterals (or triangles) with particular properties. Is it possible to fill the game grid?
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problemLogo Challenge 5 - Patch
Using LOGO, can you construct elegant procedures that will draw this family of 'floor coverings'?
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problemArRh!
Triangle ABC is equilateral. D, the midpoint of BC, is the centre of the semi-circle whose radius is R which touches AB and AC, as well as a smaller circle with radius r which also touches AB and AC. What is the value of r/R?
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problemEqual Equilateral Triangles
Can you make a regular hexagon from yellow triangles the same size as a regular hexagon made from green triangles ? -
problemFavouriteIsosceles Seven
Is it possible to find the angles in this rather special isosceles triangle?
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problemFavouriteTriangle Midpoints
You are only given the three midpoints of the sides of a triangle. How can you construct the original triangle?
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problemFavouriteOf All the Areas
Can you find a general rule for finding the areas of equilateral triangles drawn on an isometric grid?