Question

what is the distance between points m and n? meters

Explanation:

Step1: Use the Midline Theorem

The Midline Theorem states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and half its length. Here, since \(KM = ML = 10.7\) m and \(JN=NL = 7.4\) m, segment \(MN\) is related to \(JK\).

Step2: Calculate the length of \(MN\)

We know that \(JK = 19.6\) m. By the Midline Theorem, \(MN=\frac{1}{2}JK\). Substitute \(JK = 19.6\) m into the formula: \(MN=\frac{19.6}{2}\)

Answer:

\(9.8\)