1.  Median of a right trapezoid (also known as midline or midsegment) if you know bases  

middle line rectangular trapezoid ab

 

a , b     -  bases

m12 red  - midline

 

 

Find the median of a trapezoid if given bases ( m red ) :

middle line rectangular trapezoid ab F

 

 

2.  Median of a right trapezoid (also known as midline or midsegment), if you know base, lateral sides and angles at the base  

middle line rectangular trapezoid h

a black  - larger base

b black  - smaller base

d black  - lateral side

c black = h     - lateral side = height

alpha orange   -  angle at the base

m12 red  - midline

 

Find the median of a trapezoid if given base, height and angle at the base ( m red ) :

middle line rectangular trapezoid h F11  middle line rectangular trapezoid h F12

 

Find the median of a trapezoid if given base, lateral side and angles at the base ( m red ) :

middle line rectangular trapezoid h F21  middle line rectangular trapezoid h F22

 

Find the median of a trapezoid if given base and lateral sides ( m red ) :

middle line rectangular trapezoid h F31  middle line rectangular trapezoid h F32

 

 

3.  Median of a right trapezoid (also known as midline or midsegment), if you know diagonals, height and angle between the diagonals   

middle line rectangular trapezoid d

 

d1 blue , d2 blue     -  diagonals

alpha orange , beta brown     -  angles between the diagonals

h  - height

m12 red  - midline

 

Find the median of a trapezoid if given diagonals, height and angle between the diagonals ( m red ) :

middle line rectangular trapezoid d F

 

 

4.  Median of an arbitrary trapezoid (also known as midline or midsegment), if you know height and area of a trapezoid  

middle line rectangular trapezoid S

 

A18 black  - areaof a trapezoid

h  - height

m12 red  - midline

 

Find the median of a trapezoid if given height and area of a trapezoid ( m red ) :

middle line rectangular trapezoid S F