Parallelogram ABCD has sides with length AB = 10 and BC = 15. The length of diagonal BD = 12. Point P is on BC, five units away from B, and AP and BD intersect at Q. a. Find the lengths of BQ and QD. b. Find the ratio of the areas of triangle BQA and triangle BQP.

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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Parallelogram ABCD has sides with length AB = 10 and BC = 15. The length of diagonal BD = 12. Point P is on BC, five units away from B, and AP and BD intersect at Q.

a. Find the lengths of BQ and QD.

b. Find the ratio of the areas of triangle BQA and triangle BQP.

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