Given that there is a point P (6, m) on the hyperbola x2 / 9-y2 / 16 = 1, what is the distance from the point P to the right focus? If you can, give me a more complete process

Given that there is a point P (6, m) on the hyperbola x2 / 9-y2 / 16 = 1, what is the distance from the point P to the right focus? If you can, give me a more complete process

Substituting
4-m²/16=1
m²=48
a²=9,b²=6
c²=9+16=25
c=5
So the right focus is (5,0)
So the distance = √ [(6-5) & sup2; + (M-0) & sup2;]
=√(1+48)
=7