Area of Triangle Formed by Two Foci and a Point on the Ellipse

Rarely Tested

Area of Triangle Formed by Two Foci and a Point on the Ellipse

For a point:

$$P(a\cos\theta,b\sin\theta)$$

the area of triangle formed by the two foci and $$p$$ is:

$$\Delta=bc|\sin\theta|$$

Usage

- Used in area problems involving a point on the ellipse and its two foci.

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