Right-angled Triangles

A right-angled triangle mostly is well-determined by two magnitudes and the right angle. In the program you are asked to choose two of the following elements and then to enter their values:

• Catheti a and b
• Hypotenuse c
• Angles α and β
• Hypotenuse sections p and q
• Altitude h
• Area A

If you enter the values of two out of these nine magnitudes the program computes the others.

Given:
¯¯¯¯¯¯
              Cathete a = 3
       Hypotenuse c = 5
 
Results :
¯¯¯¯¯¯¯
              Cathete b = 4
                Angle  α = 36,869898°
                Angle  β = 53,130102°  
Hypot. segment  p = 1,8
Hypot. segment  q = 3,2
             Altitude  h = 2,4
                 Area  A = 6

Given:
¯¯¯¯¯¯
Hypot. segment  p = 1,8
                  Area  A = 6 
 
Results :
¯¯¯¯¯¯¯
              Cathete a = 3
              Cathete b = 4
       Hypotenuse c = 5
                Angle  α = 36,869898°
                Angle  β = 53,130102°  
Hypot. segment  q = 3,2
             Altitude  h = 2,4