Theorem 12-13
Intersecting Chords or secants (on the interior)
Include Formula
If two chords (or secants) intersect inside a circle, then the product of the segments of one chord is equal to the product of the segments of the other chord. Specifically:
$$(AC)(CB) = (ED)(DF)$$
where A, B, C, D, E, and F are points on the circle, and CD and EF are the chords (or secants) that intersect at point G inside the circle.
What do the $ mean
The "$$" symbols are used in mathematics to indicate the start and end of a mathematical equation or expression, similar to how a period is used to indicate the end of a sentence in English. Within the "$$" symbols, we can write mathematical operations, variables, and constants to define the equation or expression.
The formula for intersecting chords or secants on the interior is:
AB × CD = EF × DG
Where:
- AB and CD are the lengths of the chord or secant segments on one side of the intersection point.
- EF and DG are the lengths of the chord or secant segments on the other side of the intersection point.