1.  Side (base) of an isosceles trapezoid if you know other base and midline of a trapezoid  

sides isosceles trapezoid m

 

a , b     -  bases

m red  - midline

 

 

Calculate the base of an isosceles trapezoid if given middle line and other base  ( a b  ) :

sides isosceles trapezoid m F2sides isosceles trapezoid m F1

 

 

2.  All four sides of an isosceles trapezoid if you know height, angle at the base and other sides  

sides isosceles trapezoid h

b black   - smaller base

a  - larger base

c black    -  leg

alpha red   -  angle  at the base

h  - height

 

Calculate the lateral side (leg) of a trapezoid if given angle at the base, height or bases  ( c  ) :

sides isosceles trapezoid h F1sides isosceles trapezoid h F2

 

Calculate the base of a trapezoid if given angle at the base, height and other base  ( a b  ) :

sides isosceles trapezoid h F3

sides isosceles trapezoid h F4

 

Calculate the base of a trapezoid if given angle at the base, lateral side (leg) and other base  ( a b  ) :

sides isosceles trapezoid h F5

sides isosceles trapezoid h F6

 

 

3.  Bases of an isosceles trapezoid if you know height, diagonals and angle between the diagonals  

sides isosceles trapezoid d

b black   - smaller base

a  - larger base

c black    -  leg

d blue1   -  diagonal

alpha orange , beta brown     -  angles between the diagonals

h  - height

 

Calculate the side (base) of a trapezoid if given diagonal, lateral side (leg) and other base ( a b  ) :

sides isosceles trapezoid d F1sides isosceles trapezoid d F2

 

Calculate the lateral side (leg) of a trapezoid if given diagonal and bases ( c  ) :

sides isosceles trapezoid d F3

 

Calculate the side (base) of a trapezoid if given diagonal, height, angle between the diagonals and base ( a b  ) :

sides isosceles trapezoid d F4

sides isosceles trapezoid d F5

* It is true in this case:

sides isosceles trapezoid d F6

 

 

4.  Sides of an isosceles trapezoid if you know area of a trapezoid  

sides isosceles trapezoid S

a , b     -  bases

c black    -  leg

m12 red   -  midline

alpha orange , beta brown     -  angles at the base

h  - height

A18 black  - area

 

Calculate the side (base) of a trapezoid if given area of a trapezoid ( a b  ) :

sides isosceles trapezoid S F1sides isosceles trapezoid S F2

 

Calculate the lateral side (leg) of a trapezoid if given area of a trapezoid ( c  ) :

sides isosceles trapezoid S F3

sides isosceles trapezoid S F4

* It is true in this case:

sides isosceles trapezoid d F6