Given the triangle ABC, let D be on AC (extended if necessary) so that BD is an altitude (thatis, BD is perpendicular to AC) and let E lie on AB so that CE is an altitude. Let H be the point where BD and CE meet.Show that if HB = HC, then AB = AC

Using AAS congruency , AB= AC is proved

Answered: Given the triangle ABC, let D be on AC…

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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Given the triangle ABC, let D be on AC (extended if necessary) so that BD is an altitude (that

is, BD is perpendicular to AC) and let E lie on AB so that CE is an altitude. Let H be the point where BD and CE meet.

Show that if HB = HC, then AB = AC

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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