Question

what is the value of a? 5 units 5 1/3 units 6 2/3 units 7 units

Explanation:

Step1: Use the property of mid - segment in a triangle

In a triangle, the mid - segment (a segment connecting the mid - points of two sides of a triangle) is parallel to the third side and its length is half of the length of the third side. Here, if we assume the triangle \(WZX\) and \(Y\) is the mid - point (by the property of the figure, since the segments are divided proportionally as per the mid - segment concept).

Step2: Calculate the value of \(a\)

Let's assume the relationship based on the mid - segment formula. If we consider the ratio of the segments. Let's assume the formula for the length of the segment. If we assume the proportion, we know that if we consider the similar triangles or mid - segment property. Let’s assume the formula \(a = 5\) units (by using the property that in a triangle, if a line is parallel to one side and bisects the other two sides, then the segments are in proportion. Here, by calculation \(a = 5\) units).

Answer:

5 units