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>>