Dreieckskonstruktion 25

How does angle α change, if γ is 90° and β varies from 0° to 90°? I constructed a triangle with c = 5.3cm and γ = 90° and calculate α.
Whit this applet, we can calculate the angle α in releation to β and γ. C is given as 5.3cm. With the checkbox Auxillary Lines you can toggle the auxillary lines on and of. There also is a textbox that calculates α and notifies you, if you built an impossible consturction.