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.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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hint: use pure geometry (will be high school level) or use coordinate geometry.
for coordinate geometry, define the coordinate such that BD is a specific axis and evaluate the slope.
Transcribed Image Text: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 T, 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.
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