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

length bases rectangular trapezoid m

 

a , b     -  bases

m red  - midline

 

 

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

length bases rectangular trapezoid m F1    length bases rectangular trapezoid m F2

 

 

2.  Sides (bases) of a right trapezoid if you know lateral sides, angle at the base and other base  

length bases rectangular trapezoid cd

 

a , b     -  bases

c black   - lateral side = height

d black  - lateral side

alpha orange  -  angle  at the base

 

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

length bases rectangular trapezoid cd Fa1  length bases rectangular trapezoid cd Fa2

length bases rectangular trapezoid cd Fb1  length bases rectangular trapezoid cd Fb2

length bases rectangular trapezoid cd F3

length bases rectangular trapezoid cd F4

 

 

3.  Sides (bases) of a right trapezoid if you know diagonals, lateral side (height) and angle between the diagonals  

length bases rectangular trapezoid d

 

a , b     -  bases

c black   - lateral side = height

d1 blue , d2 blue     -  diagonals

alpha orange , beta brown     -  angles between the diagonals

 

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

length bases rectangular trapezoid d F1

length bases rectangular trapezoid d F2

* It is true in this case:

length bases rectangular trapezoid d F3

 

 

4.  Sides (bases) of a right trapezoid if you know area of a trapezoid, lateral side (height) and other base  

length bases rectangular trapezoid S

 

a , b     -  bases

c black   - lateral side = height

h    -  height

A18 black    -  area

 

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

length bases rectangular trapezoid S F1    length bases rectangular trapezoid S F2

* It is true in this case:

length bases rectangular trapezoid S F3