It is known that F 1 and F 2 are the focal points of the ellipse x 29 + y 25 = 1, the point P is on the ellipse and ∠ f 1pf 2 = π 3

Let | Pf1 | = T1, | PF2 | = T2, then from the definition of ellipse, we can get: T1 + T2 = 6. ① in △ f1pf2, f1pf2 = 60 °, T12 + t22-2t1t1t2 · cos60 ° = 16. ②, t1t2 = 16, from ① 2 - ②, s = 12 | Pf1 | · | PF2 | sin60 ° = 12 × 16 × 32 = 43

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