Given that P is a point on the right branch of hyperbola x ^ 2 / 16-y ^ 2 / 9 = 1, F1 and F2 are the left and right focuses of hyperbola respectively If s △ mpf1 = s △ mpf2 + MS △ mf1f2 holds, then the value of M is

Let m be the heart of △ pf1f2, then the distance from m to the three sides is equal. Let d be d. from s △ mpf1 = s △ mpf2 + MS △ mf1f2, we get Pf1 * D / 2 = PF2 * D / 2 + mf1f2 * D / 2, that is, pf1-pf2 = mf1f2, that is, M = (pf1-pf2) / F1F2, from point P to hyperbola X & # 178 / / 16-y & # 178 / / 9 = 1, F1 and F2 are respectively

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