Question

whats the distance between points m and n? meters

Explanation:

Step1: Use the mid - segment theorem

The mid - segment theorem states that the segment connecting the mid - points of two sides of a triangle is parallel to the third side and half its length.
In \(\triangle JKL\), \(N\) is the mid - point of \(JL\) (\(JN = NL=7.4\) m) and \(M\) is the mid - point of \(KL\) (\(KM = ML = 10.7\) m).
The length of the segment \(MN\) is half the length of \(JK\).

Step2: Calculate the length of \(MN\)

We know that \(JK = 19.6\) m.
Using the formula \(MN=\frac{1}{2}JK\).
Substitute \(JK = 19.6\) m into the formula: \(MN=\frac{19.6}{2}=9.8\) m.

Answer:

9.8