Final answer:
To find the length of side AB in similar triangles, we use the properties of similar triangles that correspond to side lengths. By setting up a proportion based on the provided side lengths and solving for AB, we determine that the length of AB is 8.
Step-by-step explanation:
The question provided asks to find the length of side AB in similar triangles, given certain side lengths. To solve for AB, we use the properties of similar triangles which state that corresponding sides are proportional.
Given DE = 32, EF = 24, and BC = 6, the problem becomes finding AB such that AB/DE = BC/EF. Plugging in the values we have:
AB/32 = 6/24
By solving for AB, we find that AB = (6/24) * 32 = 8.
Therefore, the correct answer is 8, which means the answer is option c. 8.