Did you know? When you calculate (π4+π5)/e6, you get around 1! This means a triangle with sides π2, e3, and √π5 is nearly a right triangle…
The simplest right triangle with rational sides (the longest side has a denominator of 45 digits!) and area 157, was found by Don Zagier in 1993.
A strange right-triangle involving the unit imaginary number i
The sides of a pentagon, hexagon, and decagon, inscribed in congruent circles, form a right triangle.
Find the radius r of the semicircle inscribed in the right triangle below: