What triangle has all his angles squares (i.e. each angle being represented by a square number of degrees)?
I didn't do it in my head, but there aren't many numbers to try with the aid of a calculator, thus I consider the problem an easy D2:
18013^2=11 not the sum of two squares
18012^2=36 not the sum of two squares
18011^2=59 not the sum of two squares
18010^2=80 which is the sum of two squares: 80=8^2+4^2
1809^2=99 not the sum of two squares
The triangle sought has angles 16, 64, and 100 degrees.

Posted by Jer
on 20160802 12:22:10 