Question

If AB = 4 inches, which does AC equal?

http://imageurl.org/?di=R954

A. 2 inches

B. 4 inches

C. 6 inches

D. 8 inches

Answer 1

Here are two 30-60-90 triangles.

Answer 2

The side opposite to 30 degrees is x.
Opposite to 90 --> 2x
Opp to 60 ---> x root 2.

Answer 3

We'll do it segment by segment, I guess.

Answer 4

AD = x = 2

determine BD.
2 root 2.

Answer 5

2 root 2 = x
Side opposite to 60 is x root 2.
2(2 root 2)
4 root 2

Answer 6

i got 8

Answer 7

if AD = 2 ?

Answer 8

Wait a minute

Answer 9

waiting... haha

Answer 10

DC = 6? + AD = 2?

Answer 11

Ah hah... I get it.

Answer 12

is there a formula for this?

Answer 13

\(\Large \color{MidnightBlue}{\Rightarrow ({x \sqrt{2}})^2 = 2x^2 }\)

Answer 14

And it brings out 8. Correct.

Answer 15

thank you so much again!