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42 votes
This figure shows △ABC. BD¯¯¯¯¯ is the angle bisector of ∠ABC.

What is AD?

This figure shows △ABC. BD¯¯¯¯¯ is the angle bisector of ∠ABC. What is AD?-example-1
User JCricket
by
2.2k points

2 Answers

21 votes
21 votes

Answer:8/3

Explanation:

I just took the quiz

User Shoresh
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2.4k points
28 votes
28 votes

Answer:

AD = 8/3 units

Explanation:

Based on the angle bisector theorem, angle bisector BD divides AC into AD and CD such that they are proportional to AB and CB.

This implies:

AB/AD = CB/CD

AB = 8

CB = 10

Set AD equal to x

AD = x

CD = 6 - x

Substitute the values

8/x = 10/(6 - x)

8(6 - x) = 10(x)

48 - 8x = 10x

48 - 8x + 8x = 10x + 8x

48 = 18x

48/18 = 18x/18

8/3 = x

x = 8/3

AD = 8/3 units

User Cherrylyn
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2.7k points