The co-ordinates for [ Point H ] is then given by :
The assigned values for the 3 angles here are then :
for our use below .
We then have , based on the diagram on-the-left above , this relation for the [ Length of H-A ] :
Consequently :
Substituting this into the equation immediately above then yields us this :
We then have , based on the diagram on-the-left above , this relation for the [ Length of H-B ] :
Consequently :
Substituting this into the equation immediately above then yields us this :
We then have , based on the diagram on-the-left above , this relation for the [ Length of H-C ] :
Consequently :
Substituting this into the equation immediately above then yields us this :