1.  Height of a trapezoid if you know only sides or sides and angle at the base  

height trapezoid abcd

a , b   -  bases

c black , d black     -  legs (lateral side)

alpha orange , beta brown     -  angles  at the base

h  - height

 

Calculate the height of a trapezoid if given all for sides (bases and leg) ( h ) :

height trapezoid abcd F1

 

Calculate the height of a trapezoid if given lateral side (leg) and angle at the base ( h ) :

height trapezoid abcd F21   height trapezoid abcd F22

 

 

2.  Height of a trapezoid if you know diagonals, angle between the diagonals and bases or midline  

height trapezoid d

a , b     -  bases

d1 blue , d2 blue     -  diagonals

alpha orange , beta brown   -  angles between the diagonals

m12 red  - midline

h  - height

 

Calculate the height of a trapezoid if given diagonals, bases and angle between the diagonals ( h ) :

height trapezoid d F1

 

Calculate the height of a trapezoid if given diagonals, midline and angle between the diagonals ( h ) :

height trapezoid d F2

 

 

3.  Height of a trapezoid if you know area of a trapezoid  

height trapezoid S

a , b     -  bases

A18 black      -  area

m12 red  - midline

h  - height

 

Calculate the height of a trapezoid if given area and midline or bases ( h ) :

height trapezoid S F1   height trapezoid S F2