Draw a large triangle ABC, and mark D on segment AC so that the ratio AD:DC is equal to 3:4. Mark any point P on segment BD. (a) Find the ratio of the area of triangle BAD to the area of triangle BCD. (b) Find the ratio of the area of triangle PAD to the area of triangle PCD. (c) Find the ratio of the area of triangle BAP to the area of triangle BCP

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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Draw a large triangle ABC, and mark D on segment AC so that the ratio AD:DC is equal to 3:4. Mark any point P on segment BD.

(a) Find the ratio of the area of triangle BAD to the area of triangle BCD.

(b) Find the ratio of the area of triangle PAD to the area of triangle PCD.

(c) Find the ratio of the area of triangle BAP to the area of triangle BCP.

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