Geometrical Reasoning
Key Stage: 4 ★
Given the three midpoints of the sides of a triangle, can you find a way to construct the original triangle?
This problem has a number of possible routes to a solution. It could be used as the focus for applying or learning some standard 'ruler and compasses' techniques but it is also possible to answer the problem without them. One way to work at this is backwards, a good problem solving strategy! Try to leave plenty of room for different methods to emerge.
This resource has comprehensive teachers' notes and resources, linked from the problem page. This includes possible approaches and key questions, as well as possible support and extensions.
The file attached is a HTML file, which, when opened, automatically redirects you to the problem on the NRICH website.
Key Stage: 4 ★
Given the three midpoints of the sides of a triangle, can you find a way to construct the original triangle?
This problem has a number of possible routes to a solution. It could be used as the focus for applying or learning some standard 'ruler and compasses' techniques but it is also possible to answer the problem without them. One way to work at this is backwards, a good problem solving strategy! Try to leave plenty of room for different methods to emerge.
This resource has comprehensive teachers' notes and resources, linked from the problem page. This includes possible approaches and key questions, as well as possible support and extensions.
The file attached is a HTML file, which, when opened, automatically redirects you to the problem on the NRICH website.
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