MathDB

3 semicircles on sides of acute triangle

Source: Eotvos 1939 p3

September 10, 2024

geometrysemicircleconstructionequal segments

Problem Statement

ABC

is an acute triangle. Three semicircles are constructed outwardly on the sides

BC

CA

and

AB

respectively. Construct points

A'

B'

and

C'

on these semicìrcles respectively so that

AB' = AC'

BC' = BA'

and

CA'= CB'