Homework1.In AABC pictured, AD is the anglebisector of LA. If BD = 5, CD = 6 andAB 8, find AC.B.D.68The converse of the Angle BisectorTheorem states:2.4pIn AABC, if AE meets BC at D suchthat BD:CD = BA:CA, then AD is theangle bisector of LA.Note: AB|| CEReasonsStatementsBDBA1.1.GivenCD CA2.Alt. interior Z's are =2.41L223 L43.3.4.4.ACDE I ABDABD BA5.5.CD CECE CA6.Substitution (given & step 5)6.7.AACE is isosceles7.8.21= 458.9.42 L59.Substitution10.AD is the angle bisector of LA10.

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Answered: In AABC pictured, AD is the angle…

Math

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In AABC pictured, AD is the angle bisector of LA. If BD = 5, CD = 6 and AB = 8, find AC. B. %3D %3D 8 A 5

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter3: Triangles

Section3.3: Isosceles Triangles

Problem 24E: In concave quadrilateral ABCD, the angle at A measures 40. ABD is isosceles, BC bisects ABD, and DC...

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Question

Homework
1.
In AABC pictured, AD is the angle
bisector of LA. If BD = 5, CD = 6 and
AB 8, find AC.
B.
D.
6
8
The converse of the Angle Bisector
Theorem states:
2.
4p
In AABC, if AE meets BC at D such
that BD:CD = BA:CA, then AD is the
angle bisector of LA.
Note: AB|| CE
Reasons
Statements
BD
BA
1.
1.
Given
CD CA
2.
Alt. interior Z's are =
2.
41L2
23 L4
3.
3.
4.
4.
ACDE I ABDA
BD BA
5.
5.
CD CE
CE CA
6.
Substitution (given & step 5)
6.
7.
AACE is isosceles
7.
8.
21= 45
8.
9.
42 L5
9.
Substitution
10.
AD is the angle bisector of LA
10.

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