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.:

$TS=\frac{HJ+LK}{2}$

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

$TS=\frac{14+42}{2}=\frac{56}{2}=28$

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