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Chords AB and CD intersect at P. Find the lengths indicated. Example АР 5; BP = 4; CD = 12; CP = _? %3D %3D Solution Let CP = r. Then DP = 12 - x. A x(12 - x) = 5· 4 12x - x = 20 r - 12x + 20 = 0 (x 2)(x 10) = 0 X = 2 or r = 10 CP = 2 or 10 13. АP 3D 6: ВР 3D 8: CD - 16; DP = = 14. CD = 10; CP = 6; AB = 11; AP 15. AB = 12: CP = 9: DP = 4; BP = ! 16. АP 6; ВP 5: CP = 3· DP: DP =

Chords AB and CD intersect at P. Find the lengths indicated. Example АР 5; BP = 4; CD = 12; CP = _? %3D %3D Solution Let CP = r. Then DP = 12 - x. A x(12 - x) = 5· 4 12x - x = 20 r - 12x + 20 = 0 (x 2)(x 10) = 0 X = 2 or r = 10 CP = 2 or 10 13. АP 3D 6: ВР 3D 8: CD - 16; DP = = 14. CD = 10; CP = 6; AB = 11; AP 15. AB = 12: CP = 9: DP = 4; BP = ! 16. АP 6; ВP 5: CP = 3· DP: DP =

Elementary Geometry For College Students, 7e
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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Chords AB and CD intersect at P. Find the lengths indicated. Example АР 5; BP = 4; CD = 12; CP = _? %3D %3D Solution Let CP = r. Then DP = 12 - x. A x(12 - x) = 5· 4 12x - x = 20 r - 12x + 20 = 0 (x 2)(x 10) = 0 X = 2 or r = 10 CP = 2 or 10 13. АP 3D 6: ВР 3D 8: CD - 16; DP = = 14. CD = 10; CP = 6; AB = 11; AP 15. AB = 12: CP = 9: DP = 4; BP = ! 16. АP 6; ВP 5: CP = 3· DP: DP =
Transcribed Image Text:Chords AB and CD intersect at P. Find the lengths indicated. Example АР 5; BP = 4; CD = 12; CP = _? %3D %3D Solution Let CP = r. Then DP = 12 - x. A x(12 - x) = 5· 4 12x - x = 20 r - 12x + 20 = 0 (x 2)(x 10) = 0 X = 2 or r = 10 CP = 2 or 10 13. АP 3D 6: ВР 3D 8: CD - 16; DP = = 14. CD = 10; CP = 6; AB = 11; AP 15. AB = 12: CP = 9: DP = 4; BP = ! 16. АP 6; ВP 5: CP = 3· DP: DP =
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