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Find out the side lengths of a Pythagorean triangle

Jim Howson
Tuesday 23 September 2008 03:32

It is interesting to note that the smallest Pythagorean triangle 3-4-5 has an area expressed by using just a single digit, the 6.

The standard means of calculation is very simple of course, since the triangle is obviously exactly half the size of a 3x4 rectangle.

But what is even more interesting is the fact that only one other Pythagorean triangle has an area expressed using a single digit in particular, (rather than several different digits), and again the 6 is involved.

This is all leading up to this week's problem: Which Pythagorean triangle has an area of exactly 666,666?

Find the solution online>>