Answer:
Step-by-step explanation:
Triangle ABC is similar to triangle EDC. Therefore,
AB/ED = BC/DC = AC/EC
1) Angle A is congruent to angle E.
2) BC/DC = AC/EC
From the information given,
BC = 6
EC = CE = 20 1/4 = 20.25
AC = 9
Therefore,
6/DC = 9/20.25
Crossmultiplying, it becomes
9 × DC = 6 × 20.25 =
9DC = 121.5
DC = CD = 121.5/9 = 13.5
AB/ED = BC/DC
DE = ED = 22 1/2 = 22.5
Therefore,
AB/22.5 = 6/13.5
Crossmultiplying, it becomes
13.5 × AB = 22.5 × 6
13.5AB = 135
AB = 135/13.5
AB = 10
