If point E is the midpoint of segment AC and point D is the midpoint of segment BC, which expression represents the value of s?

Given:

Given that ABC is a triangle.

The point E is the midpoint of the segment AC and point D is the midpoint of segment BC.

We need to determine the expression that represents the value of s.

Value of s:

To determine the value of s, let us apply the triangle midsegment theorem.

The triangle midsegment theorem states that "if a segment joins the midpoint of the two sides of the triangle, then the segment is parallel to the third segment and half its length".

Thus, from the figure it is obvious that the segment ED joins the midpoint of the two sides of the triangle and is parallel to the third side AB and the segment ED is half the length of AB.

Hence, applying the theorem, we have;

where ED = s and AB = u

Substituting these values, we get;

Hence, the value of s is

Thus, Option b is the correct answer.

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