Question

For the △ACD is shown below, select all the true statements. Lengths are rounded to the nearest tenth.

1. ∠ADB = 30°

2. △ABD ∼ △ACD

3. CD = 33.7 centimeters

4. BD = 37.2 centimeters

Answer 1

The correct answers are CD = 33.7 centimeters and BD = 37.2 centimeters.

adioabiola is correct. I had the same question with the same choices, and chose the same choices as adioabiola. I know they have already answered this question, but I know some people like when more than one person gives the same answer so they are sure it is correct. :)

Answer 2

1. No

2. No

3. Yes

4. Yes

Explanation:

The diagram has been attached

The total angle in a triangle is 180°

<CAD=45°

<ACD=90°

Therefore <ADB=45°

1. ∠ADB = 30° no

ADC = 90 - 45 = 45

∠BDC = 90 - 65 = 25

∠ADB = 45 - 25 = 20

2.△ABD ∼ △ACD no going

by law of sines

3.CD = 33.7 centimeters => yes

4.BD = 37.2 centimeters => yes