Given:
Line segment labelled y is the midsegment of the triangle.
To find:
The measures of x, y and z.
Solution:
Since line segment labelled y is the midsegment of the triangle. So, it divides the included sides in two equal parts.
Line segment labelled y is bisector of both included sides.
[tex]x=21[/tex] units
[tex]z=2\times 16[/tex]
[tex]z=32[/tex] units
According to the midsegments theorem, the length of the midsegment is half of third side or non included side of the triangle.
[tex]y=\dfrac{14}{2}[/tex]
[tex]y=7[/tex] units
Therefore, [tex]x=21\text{ units},y=7\text{ units},z=32\text{ units}[/tex].
