Question

Find the length of line AC in the following picture.

I've been at a loss at how to do this one for a while. Someone, please help? No links, no spam. If you don't know the answer, then don't answer.

Answer 1

Answer:

$9\sqrt{2}$

Step-by-step explanation:

We get 9sqrt2, by first finding a side of the square. We can do this by just doubling the radius of 4.5. 4.5*2=9. Now, we can use 45-45-90 triangle theorem to find the diagonal of the square, and we get 9*sqrt2, which is 9sqrt2

Answer 2

Answer:

12.72 m

Step-by-step explanation:

You're going to use the left side from the middle of AD up to point A. You see that's the same as a radius, so its length is 4.5. Then you can use the Pythagorean theorem to find the hypotenuse, the blue line from X to A.

(4.5)^2+(4.5)^2=x^2

40.5=x^2

x=6.36

and AC is two of the line you just figured out so 6.36x2=12.72m