Radius of a circle inscribed in an isosceles triangle

1.  Find radius of a circle inscribed if you know side and angle at the base

 

radius circle inscribed isosceles triangle

a12 blue    - equal sides of a triangle

b blue  - side  (base)  

alpha-angle  - angle  at the base

O black  - circumcenter    

 

Calculate the radius of a circle inscribed in an isosceles triangle if given sides ( r  ) :

radius circle inscribed isosceles triangle F

 

Calculate the radius of a circle inscribed in an isosceles triangle if given side and angle ( r  ) :

radius circle inscribed isosceles triangle Formula

radius circle inscribed isosceles triangle Formula1

 

 

2.  Find radius of a circle inscribed if you know side and height

 

radius circle inscribed isosceles triangle1

a12 blue    - equal sides of a triangle

b blue  - side  (base)  

h-height  - height

O black  - circumcenter    

 

Calculate the radius of a circle inscribed in an isosceles triangle if given side and height ( r  ) :

radius circle inscribed isosceles triangle Formula h

radius circle inscribed isosceles triangle Formula1 h