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tino4ka555 [31]
3 years ago
6

Similar Figures ABC ~ EDC

Mathematics
1 answer:
11111nata11111 [884]3 years ago
3 0

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

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