Parallelogram Side Length: Finding DC Using Height 12 and Base Segment 5
Question
Given the parallelogram ABCD
Find DC
Video Solution
Solution Steps
00:05Let's find the length of side D C.
00:08In a parallelogram, opposite sides are equal. So, D C is equal to another side.
00:22Next, we'll use the Pythagorean theorem in triangle A E D. Ready? Let's begin.
00:39We'll plug in the known values to solve for side A E. Step by step, here we go.
00:56Now, let's isolate A E to find its length. Almost there!
01:08Great! We've found the length of side A E. Well done!
01:21Remember, in parallelograms, opposite sides are equal.
01:25However, we don't have enough information to find D C directly.
01:29And that's how we approach solving this problem. Great job, everyone!
Step-by-Step Solution
The problem at hand involves finding the length of side DC using the properties of a parallelogram:
Step 1: Recognize that in a parallelogram, opposite sides are equal, meaning AB=DC and AD=BC.
Step 2: Analyze the given measurements and diagram. The length labeled as 13 cm does not correspond directly to the parallelogram's sides as vertices are placed differently due to the geometric depiction of parallel lines.
Step 3: Evaluate the diagram: it's lacking enough information directly connecting the labeled lines to either AB, the opposing side length DC, or using AD where specified.
Step 4: Conclusion based on information presented: no direct measure or calculative method allows adherence to standard formulas or express calculation of DC based on what is explicitly visualized and labeled.
Given the insufficient data to deduce the length of DC through standard parallelogram properties, the resolution is that it is indeed impossible to determine DC using provided labels and geometric read from the diagram alone.
Therefore, the correct conclusion is: It is not possible to calculate.