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In right triangle ABC, 90°. Also, BC = a, b, and AB mZC = = c. Construct the bisector of ZB so that it intersects CA at point D. Now construct DE perpendicular to AB with E on AB. In terms of a, b, and c, find the length CA of EA.

In right triangle ABC, 90°. Also, BC = a, b, and AB mZC = = c. Construct the bisector of ZB so that it intersects CA at point D. Now construct DE perpendicular to AB with E on AB. In terms of a, b, and c, find the length CA of EA.

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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In right triangle ABC, 90°. Also, BC = a, b, and AB mZC = = c. Construct the bisector of ZB so that it intersects CA at point D. Now construct DE perpendicular to AB with E on AB. In terms of a, b, and c, find the length CA of EA.
Transcribed Image Text:In right triangle ABC, 90°. Also, BC = a, b, and AB mZC = = c. Construct the bisector of ZB so that it intersects CA at point D. Now construct DE perpendicular to AB with E on AB. In terms of a, b, and c, find the length CA of EA.
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