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
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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
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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?

Egyptian Rope
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Egyptian rope

Age
7 to 11
Challenge level
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The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?

Nine-Pin Triangles
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Nine-pin triangles

Age
7 to 11
Challenge level
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How many different triangles can you make on a circular pegboard that has nine pegs?

Shapely pairs
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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...

Bracelets
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Bracelets

Age
7 to 11
Challenge level
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Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?