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Height of a right angled triangle

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

height right triangle1

a black  ,  b black -  legs of a right triangle

c black  -  hypotenuse

alpha red  ,   beta blue - acute angles at the hypotenuse

h  - height  from the vertex of the right angle

 

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

height right triangle F1

 

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

height right triangle F21

height right triangle F22

 

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

height right triangle F31   height right triangle F32

 

 

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

height right triangle3

 

c black  -  hypotenuse

c1c2 blue  - segments  obtained by dividing the height

h  - 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  ) :

height right triangle F5