bearing in mind that the centroid in a triangle cuts each of the three medians in a 2:1 ratio.
since we know that A C = 12, let's split it in a 2:1 ratio then, cleary from the picture the larger is F C, so F C : A F is on a 2:1 ratio.

Answer:

Step-by-step explanation:
Hello there!
We can solve for x using law of sines
As we can see in the image a side length divided by sin ( its opposite angle) = a different side length divided by sin ( its opposite angle)
So we can use this equation to solve for x

Our objective is to isolate the variable using inverse operations so to get rid of sin (65) we multiply each side by sin (65)

we're left with

assuming we have to round the answer would be 33.18 or 33.2
Since the triangles are the same, just flipped that means that all angles and segments are the same as well
I'm not sure if that's the "correct" way to prove it but that's why they're equal
Answer:
I put a photo of the answers.
Step-by-step explanation:
For the problems, I turned the whole under into a fraction, flipped the second fraction and multiplied.