Question

If H & J equals 7 and 10s equals 10 find LK

Answer 1

The trapezoid HJKL has T and S as midpoints of the legs

The length of TS can be calculated as the mean or average of the lengths of HJ and LK, i.e.:

`TS=(HJ+LK)/(2)`

We are given the lengths HJ=14, LK=42, thus:

`TS=(14+42)/(2)=(56)/(2)=28`

Now if we have HJ=7 and TS=10, we can find LK by solving the equation for LK

`LK=2TS-HJ`
`LK=2*10-7=20-7=13`

The length of LK is 13