In △ABC, points X, Y and Z are on sides CB, AC and AB, respectively, so that cevians AX, BY and CZ are concurrent at P. If AY : Y C = 9 : 8, AZ : ZB = 3 : 4, and |△CPX| = 112, determine, with justification, the area of △ABC and the area of △BZX.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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  1. In △ABC, points X, Y and Z are on sides CB, AC and AB, respectively, so that cevians AX, BY and CZ are concurrent at P. If AY : Y C = 9 : 8, AZ : ZB = 3 : 4, and |△CPX| = 112, determine, with justification, the area of △ABC and the area of △BZX.

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