Triangles

There are 116 NRICH Mathematical resources connected to Triangles
Repeating Patterns
problem

Repeating Patterns

Age
5 to 7
Challenge level
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Try continuing these patterns made from triangles. Can you create your own repeating pattern?
Triangle Shapes
problem

Triangle Shapes

Age
5 to 11
Challenge level
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This practical problem challenges you to create shapes and patterns with two different types of triangle. You could even try overlapping them.
Impossible triangles?
problem

Impossible triangles?

Age
16 to 18
Challenge level
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Which of these triangular jigsaws are impossible to finish?
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?
Lighting up time
problem

Lighting up time

Age
7 to 14
Challenge level
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A very mathematical light - what can you see?
The Square Hole
problem

The Square Hole

Age
14 to 16
Challenge level
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If the yellow equilateral triangle is taken as the unit for area, what size is the hole ?
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 ?
Overlaps
problem

Overlaps

Age
5 to 7
Challenge level
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What does the overlap of these two shapes look like? Try picturing it in your head and then use some cut-out shapes to test your prediction.
Inside Triangles
problem

Inside Triangles

Age
5 to 7
Challenge level
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How many different triangles can you draw on the dotty grid which each have one dot in the middle?
Number the Sides
problem

Number the Sides

Age
7 to 11
Challenge level
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The triangles in these sets are similar - can you work out the lengths of the sides which have question marks?