Question

finding the distance between two points
what is the distance between points m and n?
meters

Explanation:

Step1: Identify the mid - segments

Since \(KM = ML = 10.7\) m and \(JN=NL = 7.4\) m, \(MN\) is a mid - segment of \(\triangle JKL\).

Step2: Apply the mid - segment theorem

The mid - segment theorem states that the length of a mid - segment of a triangle is half the length of the third side. Here, the third side is \(JK\). Given \(JK = 19.6\) m.
So, \(MN=\frac{1}{2}JK\)
Substitute \(JK = 19.6\) m into the formula: \(MN=\frac{19.6}{2}\)

Answer:

\(9.8\)