Question

For the trapezoid ABCD E and F are the midpoints of

AC
and
BD
respectively.
Find the length of the segment
EF
, if AB = a, BC = b, CD = c, AD = d.

Answer 1

`EF=(b+d)/(2)\ units`

Explanation:

we know that

The Trapezoid Mid-segment Theorem. states that the length of the mid-segment is equal to the sum of the base lengths divided by two.

so

`EF=(BC+AD)/(2)`

we have

`BC=b\ units\\AD=d\ units`

substitute the given values

`EF=(b+d)/(2)\ units`