Question

GIJL is a trapezoid with mid segment of HK. If IJ =7 cm and GL=15 cm, what is the length of HK?

Answer 1

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:

`\text{Midsegment}=(b_1+b_2)/(2)`

where,
`b_1,b_2` 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:

`HK=(IJ+GL)/(2)`

`HK=(7+15)/(2)`

`HK=(22)/(2)`

`HK=11`

Therefore, the length of HK is 11 units.