,  ,     -  sides

,  ,     -  angles

Calculate the side of a triangle if given two other sides and the angle between them (Cosine Rule) ( a  ) :

Calculate the side of a triangle if given side and any two angles (Sine Rule) ( a  ) :

,   -  legs

-  hypotenuse

,    - acute angles at the hypotenuse

Calculate the length of a leg if given other sides and angles  ( a b  ) :

Calculate the length of a hypotenuse if given legs and angles at the hypotenuse  ( c  ) :

Calculate the length of sides of a right triangle using Pythagorean theorem  ( c  a  b  ) :

`1.  The height of a right triangle if you know sides and angles  `

,   -  legs of a right triangle

-  hypotenuse

,    - acute angles at the hypotenuse

- height  from the vertex of the right angle

Find the length of height if given all sides  ( h  ) :

Find the length of height if given hypotenuse and angles at the hypotenuse  ( h  ) :

Find the length of height if given legs and angles at the hypotenuse  ( h  ) :

`2.  The height of a triangle if you know segments of the hypotenuse obtained by dividing the height  `

-  hypotenuse

- segments  obtained by dividing the height

- height  from the vertex of the right angle

Find the length of height if given segments of the hypotenuse obtained by dividing the height  ( h  ) :

`1.  The bisector of a right triangle, from the vertex of the right angle if you know sides and angle  `

,   -  legs

-  hypotenuse

- acute angle at the hypotenuse

- bisector  from the vertex of the right angle

Calculate the length of a bisector if given legs  ( L  ) :

Calculate the length of bisector if given hypotenuse and angle at the hypotenuse  ( L  ) :

`2.  The bisector of a right triangle, from the vertex of the acute angle if you know sides and angles  `

,    -  legs

-  hypotenuse

,    -   acute angles at the hypotenuse

- bisector  from the vertex of the acute angle

Calculate the length of a bisector if given leg and angles at the hypotenuse ( L  ) :

Calculate the length of a bisector if given leg and hypotenuse  ( L  ) :

,   -  legs

-  hypotenuse

- acute angle at the hypotenuse

- diameter  of Circumcircle

- median  from the vertex of the right angle

The median equals the radius of Circumcircle and the half-hypotenuse  ( M  ) :

Calculate the length of median if given legs  ( M  ) :

Calculate the length of median if given leg and angle at the hypotenuse ( M  ) :

- equal sides

- height  =  bisector  =  median

Find the length of height = bisector = median if given side  ( L  ) :

`1.  The height of a triangle if you know all sides  `

,  ,     -  sides

- semiperimeter

- height  measured at right angle to the base

Calculate the height of a triangle if given sides  ( h  ) :

`2.  The height of a triangle if you know side and angle or area and base  `

,     - lateral sides

- base

,     -  angles at the base

- area of a triangle

- height  measured at right angle to the base

Calculate the height of a triangle if given side and angle at the base  ( h  ) :

Calculate the height of a triangle if given area and base  ( h  ) :

`3.  The height of a triangle if you know sides and radius of the circumcircle  `

,     - lateral sides

- radius of the circumcircle of a triangle

- circumcenter

- height  measured at right angle to the base

Calculate the height of a triangle if given two lateral sides and radius of the circumcircle  ( h  ) :

,  ,     -  sides

- line segments  obtained by dividing the bisector

- angle ABC  divided by a bisector in half

- semiperimeter

- bisector  segment |OB|, dividing the angle ABC in half

Calculate the length of a bisector of a triangle if given two sides and angle  ( L  ) :

Calculate the length of a bisector of a triangle if given all sides ( L  ) :

,  ,     -  sides

- angle   ABC

- median  segment |OB|, dividing the side   in half

Calculate the median of a triangle if given two sides and angle  ( M  ) :

Calculate the median of a triangle if given all sides ( M  ) :

- equal sides

-  base

- angles at the base

- angle formed by the equal sides

Calculate the length of equal sides if given side (base) and angle  ( a  ) :

Calculate the length of a side (base) if given equal sides and angle ( b  ) :

- equal sides

-  base

- angles

- angle formed by the equal sides

- height  =  bisector  =  median

Find the length of height = bisector = median if given lateral side and angle at the base ( L  ) :

Find the length of height = bisector = median if given side (base) and angle at the base ( L  ) :

Find the length of height = bisector = median if given equal sides and angle formed by the equal sides ( L  ) :

Find the length of height = bisector = median if given all side ( L  ) :