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The Farmers' Field Boundary

Age 11 to 14
Challenge Level

Can you find other triangles (with the red line as their base) that have the same area as the triangular part of the field on the right?

Are there any parallel lines we can draw that might help?

What do we know about triangles with the same base and the same perpendicular height?

 

 

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.
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