Median of a right angled triangle

Median right triangle

a12 green  ,  b -  legs

c blue  -  hypotenuse

alpha brown  - acute angle at the hypotenuse

R14 red  - radius  of Circumcircle

DD blue  - diameter  of Circumcircle

M14 red  - median  from the vertex of the right angle

 

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

Median right triangle F1

 

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

Median right triangle F2

 

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

Median right triangle F31   Median right triangle F32