Triangles

Can you sort these triangles into three different families and explain how you did it?

Two right-angled triangles are connected together as part of a structure. An object is dropped from the top of the green triangle where does it pass the base of the blue triangle?

This problem challenges you to work out what fraction of the whole area of these pictures is taken up by various shapes.

Using different numbers of sticks, how many different triangles are you able to make? Can you make any rules about the numbers of sticks that make the most triangles?

Can you find out how the 6-triangle shape is transformed in these tessellations? Will the tessellations go on for ever? Why or why not?

Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.

How many different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?

Construct a line parallel to one side of a triangle so that the triangle is divided into two equal areas.

Can you work out the fraction of the original triangle that is covered by the inner triangle?

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?