To determine the length of \( LF \) in triangle \( \triangle LAF \) given that \( \triangle LAF \cong \triangle NOW \), we need to look at the corresponding sides of the congruent triangles.
In congruent triangles, the lengths of corresponding sides are equal. Therefore, if we can identify which side in triangle \( NOW \) corresponds to \( LF \) in triangle \( LAF \), we can find its length.
Without the actual numbers or labels from the image, I can’t directly say what the length is, but if \( LF \) corresponds to \( ON \) or any other side in triangle \( NOW \), then you would look for that value from the options given (3, 7, 12, or 5).
If we assume (for example) that \( ON \) (or whichever side corresponds to \( LF \)) has been labeled with a length in triangle \( NOW \), that would give us the answer.
If you have further information regarding the side lengths or how the triangles correspond, I can help narrow down the choices. Given the choices, you should select the length that matches the side identified from triangle \( NOW \).