## `1. To find the missing base length of a trapezoid (called a trapezium in the UK) if you know other base and midsegment  `

,      -  bases of a trapezoid

- middle line

Formulas for trapezoid base. Click on the formula image to use the calculator.

## `2. To find the legs and bases of a trapezoid (trapezium UK) with height, angle and other sides  `

,      -  bases

,      -  legs of a trapezoid

,      -  angles  at the base

- height

Formulas for trapezoid base if given height, base angle and other base

Formulas for trapezoid base if given leg, base angle and other base

Formulas for trapezoid legs if given base angles and other leg

Formulas for trapezoid legs if given base angles and height

## `3. To find bases of a trapezoid (trapezium UK) with height, diagonals and angle between them  `

,      -  bases

,      -  diagonals

,      -  angles between the diagonals

- height

Formulas for calculating trapezoid base if given height, diagonals and angle between them

* It is true in this case:

`1.  Diagonals of a trapezoid if you know sides and angles at the base  `

,      -  bases

,      -  legs

,      -  angles  at the base

,      -  diagonals

Find the diagonal of a trapezoid using the law of cosines  (  ) :

Find the diagonal of a trapezoid if given all four sides  (  ) :

`2.  Diagonals of a trapezoid using height  `

,      -  bases

,      -  legs

,      -  angles  at the base

,      -  diagonals

- height

Find the diagonal of a trapezoid using height, angles at the base and sides  (  ) :

`3.  Diagonals of a trapezoid if you know other diagonal, angle between the diagonals and height or area or midsegment  `

,      -  bases

,      -  diagonals

,      -  angles between the diagonals

- height

- midsegment

- areaof a trapezoid

Find the diagonal of a trapezoid if given other diagonal, angle between the diagonals and height or area or midsegment  (  ) :

* It is true in this case:

`4.  Diagonals of a trapezoid using formula for the sum of the squared diagonals   `

- lower base

- upper base

,      -  legs

,      -  diagonals

Formula for the sum of the squared diagonals   :

Find the diagonal of a trapezoid using formula for the sum of the squared diagonals  (  ) :

`1.  Median of a trapezoid (also known as midline or midsegment) if you know bases  `

,      -  bases

- midline

Find the median of a trapezoid if given bases (  ) :

`2.  Median of a trapezoid (also known as midline or midsegment), if you know base, height and angles at the base  `

- lower base

- upper base

,      -  angles at the base

- height

- midline

Find the median of a trapezoid if given base, height and angles at the base (  ) :

`3.  Median of a trapezoid (also known as midline or midsegment), if you know diagonals, height and angle between the diagonals   `

,      -  diagonals

,      -  angles between the diagonals

- height

- midline

Find the median of a trapezoid if given diagonals, height and angle between the diagonals (  ) :

* It is true in this case:

`4.  Median of a trapezoid (also known as midline or midsegment), if you know height and area of a trapezoid`

- areaof a trapezoid

- height

- midline

Find the median of a trapezoid if given height and area of a trapezoid (  ) :

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

,    -  bases

,      -  legs (lateral side)

,      -  angles  at the base

- height

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

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

`2.  Height of a trapezoid if you know diagonals, angle between the diagonals and bases or midline  `

,      -  bases

,      -  diagonals

,    -  angles between the diagonals

- midline

- height

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

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

`3.  Height of a trapezoid if you know area of a trapezoid  `

,      -  bases

-  area

- midline

- height

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