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Hypotenuse Lattice Points

Age 14 to 16
Challenge Level Yellow starYellow starYellow star
Secondary curriculum
  • Problem
  • Getting Started
  • Student Solutions

The triangle OMN has vertices on the axes with whole number co-ordinates.

Points which have whole number coordinates are called lattice points.

How many lattice points are there on the hypotenuse MN?

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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.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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