Question

What is the distance between points M and N?

meters
10.7 m
19.6 m
10.7 m
7.4m Nam
7.4 mL

Answer 1

`MN=9.8\ m`

Explanation:

The picture of the question in the attached figure

we know that

The Triangle Midpoint Theorem states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side.

In this problem

Point N is the midpoint segment JL and the point M is the midpoint segment KL

so

The segment MN is joining two sides of a triangle at the midpoints of those sides

therefore

MN is parallel to side JK and is half the length of JK

`MN=(1)/(2)JK`

we have

`JK=19.6\ m`

substitute

`MN=(1)/(2)(19.6)=9.8\ m`