Find the distance light travels from its starting point, S to its final point, F by traveling two different paths: Reflecting from point A, and reflecting from point B.

From point S to A is 30 cm, from point A to B is 30 cm, from point B to F is 30 cm, and from the mirror to point F is 30 cm.

I am not able to visualize this from your description. Your question may go unanswered, unless someone else can figure out where the points are in one or two dimensions.

S +\ + /+F

+ \ + / +
30cm+ \ + / +30cm
+ \ + / +
+--- \--+-/----+-mirror
A 30cm B 30cm

a^2 = b^2 = c^2
I don't know where to go from here

the diagram I drew looked nothing like that.The mirror is on the bottom, and B is in the middle, and A is on the left bottom corner. S is on the upper left corner, and F is on the upper right corner. There's 30 cm between each point. There's some triangles.

To find the distance light travels from point S to point F by reflecting off point A and point B, we can break down the two paths and add up the total distance.

1. Path 1: S -> A -> B -> F
- Distance from S to A: 30 cm
- Distance from A to B: 30 cm
- Distance from B to F: 30 cm
Total distance for Path 1: 30 cm + 30 cm + 30 cm = 90 cm

2. Path 2: S -> B -> A -> F
- Distance from S to B: 30 cm
- Distance from B to A: 30 cm
- Distance from A to F: 30 cm
Total distance for Path 2: 30 cm + 30 cm + 30 cm = 90 cm

By traveling both paths, the light travels a total distance of 90 cm (Path 1) + 90 cm (Path 2) = 180 cm.