MathDB
length of segment of projections independent of altitude selected

Source: Finland 2016, p3

September 8, 2019
altitudelengthgeometry

Problem Statement

From the foot of one altitude of the acute triangle, perpendiculars are drawn on the other two sides, that meet the other sides at PP and QQ. Show that the length of PQPQ does not depend on which of the three altitudes is selected.