Final answer:
The measure of side m in similar triangles PRQ and MON can be found using the proportion r/o = p/m. By substituting the given values (r=6 cm, o=3.6 cm, and p=8 cm), we determine that m is 4.8 cm, matching option A.
Step-by-step explanation:
The problem deals with finding the measure of side m in a pair of similar triangles, PRQ and MON. Since these triangles are similar, their corresponding sides are proportional. Using the given side lengths, we can set up a proportion to find m. For the pairs of corresponding sides, we have:
- r corresponds to o
- p corresponds to m
Therefore, the proportion is r/o = p/m. Plugging in the values we get:
6/3.6 = 8/m
From here, we cross-multiply to find the value of m:
6m = 28.8
So m equals to 28.8 divided by 6, which gives us:
m = 4.8 cm
Thus, the measure of side m is 4.8 cm, which corresponds to option A.