How do you find the height of an isosceles triangle

Details

height isosceles triangle

a black  - equal sides

b black  -  base

alpha red  - angles

beta blue  - angle formed by the equal sides

L   - height  =  bisector  =  median

 

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

height isosceles triangle F1

 

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

height isosceles triangle F2

 

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

height isosceles triangle F3

 

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

height isosceles triangle F4