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

height isosceles trapezoid abcd

a , b   -  bases

c black   -  leg (lateral side)

alpha red1  -  angle  at the base

h  - height

 

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

height isosceles trapezoid abcd F1

 

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

height isosceles trapezoid abcd F21

height isosceles trapezoid abcd F22

 

 

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

height isosceles trapezoid d

a , b     -  bases

d blue1    -  diagonals

alpha orange , beta brown   -  angles between the diagonals

m12 red  - midline

h  - height

 

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

height isosceles trapezoid d F1

 

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

height isosceles trapezoid d F2

 

 

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

height isosceles 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 isosceles trapezoid S F1   height isosceles trapezoid S F2