Question

given \\( \overline { f g } \\) is a midsegment and \\( \overline { d e } \\) is 30, find the length of \\( \overline { f g } \\).
\\( f g = \\)

Explanation:

Step1: Recall the midsegment theorem

The midsegment of a triangle is parallel to the third side and half its length.

Step2: Apply the theorem

Since \( \overline{FG} \) is a midsegment and \( \overline{DE} = 30 \), then \( FG=\frac{1}{2}DE \).
Substitute \( DE = 30 \) into the formula: \( FG=\frac{1}{2}\times30 \).

Answer:

\( 15 \)