Given:
M is the mid-point of RS
N is the mid-point of ST
MN = 18.4
To find:
The length of RT.
Solution:
The reference image is attached below.
Joining mid-point M and N, we get mid-segment MN.
MN is parallel to RT.
Triangle mid-segment theorem:
If a segments joins the mid point of a two sides of triangle, then the segment is parallel to the third side and is half of that side.
[tex]$\Rightarrow MN=\frac{1}{2} RT[/tex]
Substitute MN = 18.4
[tex]$\Rightarrow 18.4 =\frac{1}{2} RT[/tex]
Multiply by 2 on both sides.
[tex]$\Rightarrow 2\times 18.4 =2\times \frac{1}{2} RT[/tex]
[tex]$\Rightarrow 36.8=RT[/tex]
The length of RT is 36.8.
