Using the Pythagorean theorem, we can find that the length of the hypotenuse of the right triangle on the left is:
$$\sqrt{5^2+12^2} = 13$$
Since the triangle on the right is similar to the triangle on the left, we can set up the following proportion:
$$\frac{5}{12} = \frac{t}{13}$$
Cross-multiplying, we get:
$$12t = 65$$
Therefore:
$$t = \frac{65}{12} \approx 5.4$$
So the answer is closest to 5.6cm. Therefore the correct option is (A).