Question

question
triangle fgh is formed by connecting the mid - points of the side of triangle cde. the lengths of the sides of triangle cde are shown. what is the length of $overline{hg}$? figures not necessarily drawn to scale.
answer attempt 1 out of 2
$hg=square$

Explanation:

Step1: Recall mid - point theorem

The line segment joining the mid - points of two sides of a triangle is parallel to the third side and half its length.

Step2: Identify relevant sides

In \(\triangle CDE\), \(HG\) is formed by joining mid - points and is parallel to side \(CD\).

Step3: Calculate length of \(HG\)

Since \(CD = 14\), then \(HG=\frac{1}{2}CD=\frac{1}{2}\times14 = 7\).

Answer:

7