## 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 segments p and q
- Altitude h
- Area A

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

### Example 1:

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

### Example 2:

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