2 answers:
Answer:
See below ~
Step-by-step explanation:
Let's get started!
Part (a) :
<u>Statement 1</u> : ∠A = ∠E = 90° (indicated in diagram)
<u>Statement 2</u> : ∠C = ∠C (common angle)
⇒ <u>ΔABC ~ ΔBDC</u> (AA similarity)
Part (b) :
Now that we have proved the triangles to be similar, we can take their corresponding sides in proportion.
⇒
⇒
⇒
⇒
⇒
⇒ AB = 157.5
Let's use Thales theorem
- AC/AB=CE/DE
- 50+160/AB=160/120
- 210/AB=4/3
- 4AB=630
- AB=630/4
- AB=157(Approx)
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