Triangles

There are 117 NRICH Mathematical resources connected to 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 or No Triangle?
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Triangle or no triangle?

Age
5 to 7
Challenge level
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Here is a selection of different shapes. Can you work out which ones are triangles, and why?

Name That Triangle!
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Name that triangle!

Age
7 to 11
Challenge level
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Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?

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?
Walking round a triangle
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Walking round a triangle

Age
5 to 7
Challenge level
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This ladybird is taking a walk round a triangle. Can you see how much he has turned when he gets back to where he started?
Data shapes
problem
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Data shapes

Age
5 to 7
Challenge level
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Sara and Will were sorting some pictures of shapes on cards. "I'll collect the circles," said Sara. "I'll take the red ones," answered Will. Can you see any cards they would both want?

Triangles all Around
problem
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Triangles all around

Age
7 to 11
Challenge level
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Can you find all the different triangles on these peg boards, and find their angles?
Inside Triangles
problem
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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?
Sorting Logic Blocks
problem
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Sorting logic blocks

Age
5 to 11
Challenge level
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This activity focuses on similarities and differences between shapes.

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?