The equation of known curve is x ^ 2 / 16-y ^ 2 / 8 = 1, point P is on hyperbola, and the distance to one of focus F1 is 10, point P is on hyperbola And the distance to one of the focal points F1 is 10, and point n is the midpoint of Pf1. Find the size of / on / (o is the origin coordinate)

Let F1 be the left focus and F2 be the right focus to connect PF2
1. When point P is on the left branch
|PF1|=10 |PF2|=18
On is the median line of triangle pf1f2, | on | = 1 / 2 | PF2 | = 9
2. When point P is above the right branch
|PF1|=10 |PF2|=2
On is the median line of triangle pf1f2, | on | = 1 / 2 | PF2 | = 1

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