MathDB

P17

Part of 2017 Sharygin Geometry Olympiad

Problems(1)

construct K in acut ABC with <KBA = 2<KAB, <KBC = 2<KCB

Source: Sharygin Geometry Olympiad 2017 First Round P17 grades 9-11

7/22/2018
Using a compass and a ruler, construct a point KK inside an acute-angled triangle ABCABC so that ∠KBA=2∠KAB\angle KBA = 2\angle KAB and ∠KBC=2∠KCB \angle KBC = 2\angle KCB.
geometryconstructionacute triangle