Someone used this is a discussion recently and my immediate reaction was I should know this, knew the general subject area it was used in, but couldn’t recall its definition.
Sometimes it seems amazing I can participate in a discussion forum like Straight Dope as I seem to forgotten almost everything I once knew.
I’m late to this but I want to say how thrilled I am that I could remember it too. It is school-exam result time, or so the news keeps saying, so it sometimes makes me wonder if I can remember anything at all from school. Sigh of relief.
Fun mathematical fact: Inside any triangle it is possible to draw one and only one circle that just grazes all three sides. If the triangle is Pythagorean (right-angled with whole-number sides) then the radius of the circle is also a whole number.
The side opposite the right angle in a right triangle.
Equivalently, any diagonal joining two opposite corners of a rectangle or square.
Also, if you take two orthogonal vectors, lay them tip-to-tail as per standard Euclidean vector addition, the hypotenuse of the resulting right triangle is the vector which results from said vector addition. This plus the Pythagorean theorem justifies the form of the Euclidean metric.
As a quilter designing simple geometric patterns and figuring measurements, I often have mantras like “1, 1, square root of 2” (for the sides of a 45/45/90 triangle) and “1, square root of 3, 2” (for the sides of a 30/60/90 triangle).
Well, I was close. I thought it was the remaining angle when the other two angles were known. If A=90° and B=50° then the unknown angle C would be the hypotenuse (40°).