Question

if jk is a midsegment of △ghf, what is the length \\(\overline{jk}\\)?
(figure of triangle ghf with j on gf, k on hf, gj = 2.5, jf = 2.5, gh = 7)
\\(jk = \boxed{}\\)

Explanation:

Step1: Recall Midsegment Theorem

The Midsegment Theorem states that the midsegment of a triangle is parallel to the third side and half its length. Here, \( JK \) is the midsegment of \( \triangle GHF \), so \( JK \parallel GH \) and \( JK=\frac{1}{2}GH \).

Step2: Identify Length of \( GH \)

From the diagram, the length of \( GH \) is 7.

Step3: Calculate Length of \( JK \)

Using the Midsegment Theorem, \( JK = \frac{1}{2} \times GH \). Substituting \( GH = 7 \), we get \( JK=\frac{1}{2}\times7 = 3.5 \).

Answer:

\( 3.5 \)