SOLUTION: Find the constant sum for an ellipse with foci F1 (3, 0), F2 (24, 0) and the point on the ellipse (9, 8). The constant sum is: _____. Enter only a number.

Algebra ->  Equations -> SOLUTION: Find the constant sum for an ellipse with foci F1 (3, 0), F2 (24, 0) and the point on the ellipse (9, 8). The constant sum is: _____. Enter only a number.      Log On


   

Question 1077945: Find the constant sum for an ellipse with foci F1 (3, 0), F2 (24, 0) and the point on the ellipse (9, 8). The constant sum is: _____. Enter only a number.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
an ellipse with foci F%5B1%5D (3,+0), F%5B2%5D (24, 0) and the point on the ellipse (9, 8)
One property of an ellipse is that, from any point, the sum of the distances to the two foci is constant.
sqrt%28%289-3%29%5E2%2B%288-0%29%5E2%29%2Bsqrt%28%289-24%29%5E2%2B%288-0%29%5E2%29
sqrt%28%286%29%5E2%2B%288%29%5E2%29%2Bsqrt%28%28-15%29%5E2%2B%288%29%5E2%29
sqrt%2836%2B64%29%2Bsqrt%28225%2B64%29
sqrt%28100%29%2Bsqrt%28289%29
10%2B17
27
The constant sum is: __27___.