1.  Lateral side (height) of a right trapezoid if you know bases, other lateral side and angle at the base  

c lateral side rectangular trapezoid ab

a , b   -  bases

c black   - lateral side = height

d black  - lateral side

alpha orange  -  angle

h    -  height

 

Calculate the lateral side (height) of a trapezoid if given bases, other lateral side and angle at the base  ( c black ) :

c lateral side rectangular trapezoid ab F1

c lateral side rectangular trapezoid ab F2

c lateral side rectangular trapezoid ab F3

c lateral side rectangular trapezoid ab F4

 

 

2.  Lateral side (height) of a right trapezoid if you know diagonals, bases and angle between the diagonals  

c lateral side 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 lateral side (height) of a trapezoid if given diagonals, bases and angle between the diagonals  ( c black ) :

c lateral side rectangular trapezoid d F1

* It is true in this case:

c lateral side rectangular trapezoid d F2

 

 

3.  Lateral side (height) of a right trapezoid if you know bases or midline and area of a trapezoid   

c lateral side rectangular trapezoid S

 

a , b     -  bases

c black   - lateral side = height

m12 red  - midline

A18 black    -  area of a trapezoid

 

Calculate the lateral side (height) of trapezoid if given bases or midline and area of a trapezoid  ( c black ) :

c lateral side rectangular trapezoid S F1   c lateral side rectangular trapezoid S F2

 

 

4.  Lateral side of a right trapezoid if you know bases, other lateral side (height) and angle at the base  

c lateral side rectangular trapezoid ab

a black  - larger base

b black  - smaller base

c black   - lateral side = height

d black  - lateral side

alpha orange  -  angle  at the base

h    -  height

Calculate the lateral side of a trapezoid if given bases and lateral side(height) :( d black ) :

d lateral side rectangular trapezoid abc F1

 

Calculate the lateral side of a trapezoid if given angle at the base and bases or lateral side (height) ( d black ) :

d lateral side rectangular trapezoid abc F21   d lateral side rectangular trapezoid abc F22

 

 

5.  Lateral side of a right trapezoid if you know area of a trapezoid, angle at the base and bases or midline   

d lateral side rectangular trapezoid S

a , b     -  bases

d black   - lateral side (leg)

alpha orange  -  angle  at the base

m12 red  - midline

A18 black    -  area

 

Calculate the lateral side of trapezoid if given area of a trapezoid, angle at the base and bases or midline  ( d black ) :

d lateral side rectangular trapezoid S F1   d lateral side rectangular trapezoid S F2