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Parallel Universe

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2
A right-angled triangle ABC is right-angled at B.

An equilateral triangle is constructed on BC.

A line QD is drawn, where Q is the midpoint of AC.

Prove that AB // QD.

Geometircal shape.

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. More information on many of our other activities can be found here.
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