MathDB
angle wanted, isosceles, altitudes, rectangle (2018 Kyiv City MO 8.3)

Source:

September 11, 2020
geometryrectangleisoscelesangles

Problem Statement

In the isosceles triangle ABCABC with the vertex at the point BB, the altitudes BHBH and CLCL are drawn. The point DD is such that BDCHBDCH is a rectangle. Find the value of the angle DLHDLH.
(Bogdan Rublev)