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

middle line trapezoid

 

a , b     -  bases

m12 red  - midline

 

 

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

middle line trapezoid F

 

 

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

middle line trapezoid h

a black  - lower base

b black  - upper base

alpha orange , beta brown     -  angles at the base

h  - height

m12 red  - midline

 

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

middle line trapezoid h F1

middle line trapezoid h F2

 

 

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

middle line 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 trapezoid d F

* It is true in this case:

middle line trapezoid m F3

 

 

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

middle line 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 trapezoid S F