Math Arguments
Problems, Questions, and Puzzles to spark discussion and argument in the maths classroom.
Rational Cube Routes
Imagine a cube, 2 inches on a side ...
Actually, don't bother, I'll put one over there on the right side. ==>>
Now imagine if you were sitting on a vertex. How far is it (straight line distance) to the other vertices?
How many of those paths would be rational number distances?
What if you were on the midpoint of an edge and considering the paths to the vertices again. How many of those paths would have rational lengths distances?
And, no, I won't apologize for the pun. Pfft!
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Source:
David Marain
Edge of a cube has length 2, P is the midpoint of an edge. Show that the greatest distance from P to a vertex is 3.
- David Marain (@dmarain) October 28, 2014
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