Question

finding the distance between two points
what is the distance between points m and n?
______ meters
(image shows a quadrilateral or triangle with points j, k, l, m, n. jk is 19.6 m, kl is 10.7 m + 10.7 m (with m in between), jl? no, j to n is 7.4 m, n to l is 7.4 m. wait, the image has j, k, l, m, n. jk: 19.6 m, km: 10.7 m, ml: 10.7 m, jl? no, j to n: 7.4 m, n to l: 7.4 m. the question is distance between m and n.)

Explanation:

Step1: Identify segment lengths

JN = 7.4m, ML = 10.7m, KM = 10.7m, JK = 19.6m, NL =7.4m.

Step2: Check triangle congruence

△JKN and △JLN: JK=19.6m, JL=KM+ML=21.4m? No, use midpoint.
Wait: N is midpoint of JL (JN=NL=7.4m), M is midpoint of KL (KM=ML=10.7m).

Step3: Apply midline theorem

MN is midline of △JKL, so MN=½JK.
MN=½×19.6=9.8m.

Answer:

9.8 meters