Triangles

  • Lighting up time
    problem

    Lighting Up Time

    Age
    7 to 14
    Challenge level
    A very mathematical light - what can you see?
  • Kissing Triangles
    problem

    Kissing Triangles

    Age
    11 to 14
    Challenge level
    Determine the total shaded area of the 'kissing triangles'.
  • Floored
    problem

    Floored

    Age
    14 to 16
    Challenge level
    A floor is covered by a tessellation of equilateral triangles, each having three equal arcs inside it. What proportion of the area of the tessellation is shaded?
  • Tricircle
    problem

    Tricircle

    Age
    14 to 16
    Challenge level
    The centre of the larger circle is at the midpoint of one side of an equilateral triangle and the circle touches the other two sides of the triangle. A smaller circle touches the larger circle and two sides of the triangle. If the small circle has radius 1 unit find the radius of the larger circle.
  • Are you kidding
    problem

    Are You Kidding

    Age
    14 to 16
    Challenge level
    If the altitude of an isosceles triangle is 8 units and the perimeter of the triangle is 32 units.... What is the area of the triangle?
  • Pareq Calc
    problem

    Pareq Calc

    Age
    14 to 16
    Challenge level
    Triangle ABC is an equilateral triangle with three parallel lines going through the vertices. Calculate the length of the sides of the triangle if the perpendicular distances between the parallel lines are 1 unit and 2 units.
  • Circumnavigation
    problem

    Circumnavigation

    Age
    14 to 16
    Challenge level
    The sides of a triangle are 25, 39 and 40 units of length. Find the diameter of the circumscribed circle.
  • Half a Triangle
    problem

    Half a Triangle

    Age
    14 to 16
    Challenge level
    Construct a line parallel to one side of a triangle so that the triangle is divided into two equal areas.
  • Seven lolly sticks, arranged as a tally.
    problem

    Seven Sticks

    Age
    5 to 7
    Challenge level

    Explore the triangles that can be made with seven sticks of the same length.

  • Three Fingers and a Loop of String
    problem

    Three Fingers and a Loop of String

    Age
    5 to 7
    Challenge level

    Using a loop of string stretched around three of your fingers, what different triangles can you make? Draw them and sort them into groups.

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