MathDB
45^o wanted, square on hypotenuse of a right triangle 1996 Portugal p1

Source:

October 11, 2020
geometrysquareright triangle

Problem Statement

Consider a square on the hypotenuse of a right triangle [ABC][ABC] (right at BB). Prove that the line segment that joins vertex BB with the center of the square makes 45o45^o angles with legs of the triangle.