Final answer:
The problem requires knowledge of geometry and unit conversion, asking for the length of unknown sides of a triangle using given lengths. Although there's insufficient information to determine DE directly, BE can be found from the sum of AE and CE for the first scenario. Additionally, the conversion of meters to centimeters is explained using the factor 1 m = 100 cm.
Step-by-step explanation:
The question involves the application of geometry and unit conversion to solve for missing sides in a triangle. The student is given certain lengths of a triangle's sides, and they are required to find the lengths of the unspecified sides. The question's focus on measurements and conversions suggests that they are dealing with similar triangles or a triangle where the sum of the two sides must equal the length of the third side due to the Triangle Inequality Theorem.
To find DE, we would typically use information about the triangle, but since we do not have enough information given explicitly in the question, we are unable to answer this directly. However, knowing that AE = 4 cm and CE = 2 cm, we can find BE by simply adding these two lengths, getting BE = 6 cm.
To find BE given the lengths AE = 9.8 m, CE = 5.7 m, and DE = 3.8 m, we again seem to have insufficient information since we do not know the type of triangle or any additional relationships between the sides. If we assume the triangle's sides are connected, we might believe they want us to add AE and CE; however, this seems unlikely in relation to the given DE.
Concerning unit conversion, an example illustrates how to convert meters to centimeters. The conversion factor between meters and centimeters is that 1 m = 100 cm. So, to convert 3.55 m to centimeters, we multiply by this conversion factor: 3.55 m * 100 cm/1 m = 355 cm.