Question

In triangle ABC, AB = 3, BC = 4, and AC = 5. Let D be the foot of the angle bisector of ∠BAC, E be the foot of the angle bisector of LABC, and F be the foot of the angle bisector of LACB. Suppose that ADEF is homothetic to ∆ABC with a scale factor of, for some positive integer k. Find k.

Name: in triangle abc ab 3 bc 4 and ac 5 let d be the foot of the angle bisector of bac e be the foot of the angle bisector of labc and f be the foot of the angle bisector of lacb suppose that ade 08532
Uploaded: 2021-10-13T23:10:06-08:00
Duration: 1 min 57 s
Channel: Jay Patel
Description: in triangle abc ab 3 bc 4 and ac 5 let d be the foot of the angle bisector of bac e be the foot of the angle bisector of labc and f be the foot of the angle bisector of lacb suppose that ade 08532

          In triangle ABC, AB = 3, BC = 4, and AC = 5. Let D be the foot of the angle bisector of ∠BAC, E be the foot of the angle bisector of LABC, and F be the foot of the angle bisector of LACB. Suppose that ADEF is homothetic to ∆ABC with a scale factor of, for some positive integer k. Find k.

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Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

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10/13/2021

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In triangle ABC, AB = 3, BC = 4, and AC = 5. Let D be the foot of the angle bisector of ∠BAC, E be the foot of the angle bisector of LABC, and F be the foot of the angle bisector of LACB. Suppose that ADEF is homothetic to ∆ABC with a scale factor of, for some positive integer k. Find k.