Answer:
The length of mid-segment [tex]XY=4[/tex] units
Step-by-step explanation:
Given:
Length of [tex]QR=8[/tex] units
[tex]XY[/tex] is the mid-segment which means the line joining the midpoints of two sides of triangle.
By mid-segment theorem the mid-segment of a triangle is parallel to the third side and half of the length of third side.
So, we can write:
[tex]XY=\frac{1}{2}QR[/tex]
[tex]XY=\frac{1}{2}(8)[/tex]
∴ [tex]XY=4[/tex] units
∴The length of mid-segment [tex]XY=4[/tex] units
