In the diagram, dg = 15, gf = 5, eh = 12, and de = 8. to prove that △dfe ~ △gfh by the sss similarity theorem using the information provided in the diagram, it would be enough additional information to know that

a. hf is 2 units and gh is 3 units
b. hf is 3 units and gh is 2 units.
c. hf is 4 units and gh is 2 units
d. hf is 3 units and gh is 4 units.

SSS stands for side-side-side.

It is a criterion for triangles' similarity.

This criterion tells that if the 3 sides of two triangles have same ratio, then the two triangles are similar.

In this case, you have to refer to the figure to check that if HF is 4 units and GH is 2 units, you can infere that the SSS crieterion is satisfied.

For example, you will find these ratios 8/10 = 4/5.

Then, the answer is the option C. HF is 4 units and GH is 2 units.