1.  The area of an isosceles trapezoid if you know sides and angle  

area isosceles trapezoid side

a black  -  lower base

b black  -  upper base

c black  -  equal lateral sides

alpha green  - angle  at the lower base

 

Formula for calculating Area of a trapezoid if given all sides ( A ) :

area isosceles trapezoid side F

 

Formulas for calculating Area of a trapezoid if given sides and angle ( A ) :

area isosceles trapezoid side F1

area isosceles trapezoid side F2

 

 

2.  The area of an isosceles trapezoid in the case of a circle being inscribed in it  

area isosceles trapezoid radius

a , b     -  bases of an isosceles trapezoid

alpha brown , beta blue      -  angles of an isosceles trapezoid

R red  - radius  of the inscribed circle

D green  - diameter  of the inscribed circle

O black  - center  of the inscribed circle

HH green  - height  

Formulas  for calculating Area of a trapezoid if given radius, diameter or bases ( A ) :

area isosceles trapezoid radius F11   area isosceles trapezoid radius F12

area isosceles trapezoid radius F21   area isosceles trapezoid radius F22

area isosceles trapezoid radius F31   area isosceles trapezoid radius F32

area isosceles trapezoid radius F41   area isosceles trapezoid radius F42

 

For the circle inscribed into an isosceles trapezoid, the following is TRUE:

 area isosceles trapezoid radius F

 

 

3.  The area of an isosceles trapezoid in the case of a circle being inscribed in it and if you know middle line  

area isosceles trapezoid m

a , b     -  bases of an isosceles trapezoid

c black  -  equal lateral sides

R red  - radius  of the inscribed circle

O black  - center  of the inscribed circle

m green  - middle line  

 

Formulas  for calculating Area of a trapezoid if given radius, sides or middle line ( A ) :

area isosceles trapezoid m F1

area isosceles trapezoid m F2

area isosceles trapezoid m F31   area isosceles trapezoid m F32

 

For the circle inscribed into an isosceles trapezoid, the following is TRUE:

 area isosceles trapezoid m F

 

 

4.  The area of a isosceles trapezoid if you know diagonals and angle between them

area isosceles trapezoid d

 

     d blue1    -  diagonal of a trapezoid

    alpha red , beta green    -  angles between the diagonals

 

 

Formula for calculating Area of a isosceles trapezoid if given diagonals and angle between them ( A ) :

area isosceles trapezoid d F1   area isosceles trapezoid d F2

 

 

5.  The area of an isosceles trapezoid if you know lateral side, middle line and angle  

area isosceles trapezoid m1

 

c black  -  equal lateral sides

m red  - middle line  

alpha green , beta blue      -  angles at the bases

 

Formula for calculating Area of a trapezoid if given lateral side, middle line and angle ( A ) :

area isosceles trapezoid m1 F1   area isosceles trapezoid m1 F2

 

 

6.  The area of an isosceles trapezoid if you know bases and height  

area isosceles trapezoid h

 

 

a , b     -  bases of an isosceles trapezoid

h  - height  measured at right angles to the base

 

Formula for calculating Area of a trapezoid if given bases and height ( A ) :

area isosceles trapezoid h F