Area of Triangle Formed by Focus and Latus Rectum

Rarely Tested

Area of Triangle Formed by Focus and Latus Rectum

For the standard parabola:

$$y^2=4ax$$

the triangle formed by the focus and the two endpoints of the latus rectum has area:

$$A=2a^2$$

Usage

- Used in direct area problems involving the focus and latus rectum.

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