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 perplexus dot info

 Dotty Right Triangle (Posted on 2005-06-09)

A "dot" (commonly also called a "lattice point") is a point with integer coordinates.

In the plane, what is the total number of dots inside or on the boundary of the triangle with vertices (0,0), (x,0), (x,y) where x and y are positive integers?

In the event that it is not utterly obvious from the form of your answer that a whole number is being specified, give an independent argument to show this.

What total do you get if you count the three vertex dots together as just half a dot and any other boundary dots as half a dot each?

 See The Solution Submitted by Richard Rating: 4.5000 (2 votes)

 Subject Author Date re(2): Solution Richard 2005-06-14 22:05:26 re(2): Half solution -- the second half Bractals 2005-06-09 21:17:31 re: Solution Charlie 2005-06-09 20:06:46 re: Half solution -- the second half Charlie 2005-06-09 19:36:35 Half solution Bractals 2005-06-09 18:43:12 Solution Jer 2005-06-09 17:42:57

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