Given: A line segment AC with AB=BC Prove: 1/2AC=BC? Geometry Geometric Constructions Constructing Bisectors of Lines and Angles 1 Answer Konstantinos Michailidis Nov 23, 2015 Hence AB=BCAB=BC we have that AC=AB+BC=BC+BC=>AC=2*BC=>BC=1/2*ACAC=AB+BC=BC+BC⇒AC=2⋅BC⇒BC=12⋅AC Answer link Related questions In a triangle DeltaABC, AB and AC are extended and bisectors of exterior angles are drawn... See all questions in Constructing Bisectors of Lines and Angles Impact of this question 3854 views around the world You can reuse this answer Creative Commons License