Problem 2. Given a triangle ABC. Let X and Y be two points on sides AB and BC respectively, such that AX = CY. Construct a circle 7, that passes through B, C and X, and another circle 12 that passes through A, B and Y. Show that BD is the angle bisector of ZABC, where B and D are points of intersection of T₁ and 7₂.

Problem 2. Given a triangle ABC. Let X and Y be two points on sides AB and BC respectively, such that AX = CY. Construct a circle 7, that passes through B, C and X, and another circle 12 that passes through A, B and Y. Show that BD is the angle bisector of ZABC, where B and D are points of intersection of T₁ and 7₂.

Intermediate Algebra

10th Edition

ISBN:9781285195728

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter7: Equations And Inequalities In Two Variables

Section7.3: Distance And Slope

Problem 13PS

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