Triangles

  • Notes on a triangle
    problem

    Notes on a Triangle

    Age
    11 to 14
    Challenge level
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    Can you describe what happens in this film?
  • Constructing Triangles
    problem
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    Constructing Triangles

    Age
    11 to 14
    Challenge level
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    Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?

  • Shapely pairs
    problem
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    Shapely Pairs

    Age
    11 to 14
    Challenge level
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    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...

  • Property chart
    problem
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    Property Chart

    Age
    11 to 14
    Challenge level
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    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?

  • LOGO Challenge 5 - Patch
    problem

    Logo Challenge 5 - Patch

    Age
    11 to 16
    Challenge level
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    Using LOGO, can you construct elegant procedures that will draw this family of 'floor coverings'?

  • ArRh!
    problem

    ArRh!

    Age
    14 to 16
    Challenge level
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    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?

  • Equal Equilateral Triangles
    problem

    Equal Equilateral Triangles

    Age
    14 to 16
    Challenge level
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    Can you make a regular hexagon from yellow triangles the same size as a regular hexagon made from green triangles ?
  • Isosceles Seven
    problem
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    Isosceles Seven

    Age
    14 to 16
    Challenge level
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    Is it possible to find the angles in this rather special isosceles triangle?

  • Triangle midpoints
    problem
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    Triangle Midpoints

    Age
    14 to 16
    Challenge level
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    You are only given the three midpoints of the sides of a triangle. How can you construct the original triangle?

  • Of all the areas
    problem
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    Of All the Areas

    Age
    14 to 16
    Challenge level
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    Can you find a general rule for finding the areas of equilateral triangles drawn on an isometric grid?