The length of the major axis of the ellipse below is 12. what is the sum of the lengths of the red and blue line segments

We know that the major axis of the ellipse is 12 ( 2 a = 12 ).An ellipse is a curve with 2 focal points, such that the sum of the distances to the 2 focal points is constant for every point on a curve.If P is a point on a curve:PF 1 + PF 2 = 2 a( Blue line ) + ( Red line ) = 2 a = 12 The sum of the lengths of the red and blue line segments is 12.