TOT 160 1987 Autumn S4 each segment equal to inradius
Source:
April 19, 2020
inradiusaltitudeperpendiculargeometry
Problem Statement
From point in triangle perpendiculars are dropped to each altitude. It can be shown that each of the line segments of altitudes, measured between the vertex and the foot of the perpendicular drawn to it, are of equal length. Prove that these lengths are each equal to the diameter of the circle inscribed in the triangle.