Consider IJ and GL are the parallel sides of the trapezoid.
Given:
In a trapezoid GIJL, HK is the mid segment, IJ =7 cm and GL=15 cm.
To find:
The length of the mid segment HK.
Solution:
The length of the mid segment of a trapezoid is:
[tex]\text{Midsegment}=\dfrac{b_1+b_2}{2}[/tex]
where, [tex]b_1,b_2[/tex] are two parallel side or bases of the trapezoid.
HK is the mid segment, and the parallel sides are IJ =7 cm and GL=15 cm. So, the length of the mid segment is:
[tex]HK=\dfrac{IJ+GL}{2}[/tex]
[tex]HK=\dfrac{7+15}{2}[/tex]
[tex]HK=\dfrac{22}{2}[/tex]
[tex]HK=11[/tex]
Therefore, the length of HK is 11 units.
