MathDB

12

Part of 2011 Sharygin Geometry Olympiad

Problems(1)

contruct a point with equal angles related to bases of altitudes

Source: 2011 Sharygin Geometry Olympiad Correspondence Round P12

4/4/2019
Let APAP and BQBQ be the altitudes of acute-angled triangle ABCABC. Using a compass and a ruler, construct a point MM on side ABAB such that ∠AQM=∠BPM\angle AQM = \angle BPM.
geometryequal anglesconstructionaltitudes