In the intersecting chords example, if AE = 3 cm, EB = 4 cm, and CE = 2 cm, what is the length of ED?
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ED is 6 cm.
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In the intersecting chords example, if AE = 3 cm, EB = 4 cm, and CE = 2 cm, what is the length of ED?
ED is 6 cm.
What are intersecting chords?
Intersecting chords are two chords that cross each other inside the circle.
In the tangent length example, what is the distance from point P to the center O of the circle if the radius is 6 cm and the tangent lengths are 10 cm each?
The distance OP is approximately 11.66 cm.
How can the intersecting chords theorem be applied?
It can be used to find unknown lengths of segments when given certain lengths.
How can tangent properties be applied in circle geometry problems?
Tangent properties can be applied to solve problems involving angles and lengths in circle geometry.
What is a tangent in relation to a circle?
A tangent is a line that touches a circle at exactly one point.
What does the Intersecting Chords Theorem state?
If two chords intersect each other inside a circle, the products of the lengths of the segments of each chord are equal.
What is the formula to find the length of the tangent from a point to a circle?
Use the Pythagorean theorem: OP^2 = OA^2 + AP^2.
What is the property of a tangent in relation to the radius at the point of contact?
A tangent to a circle is perpendicular to the radius drawn to the point of contact.
What can be said about the lengths of two tangents drawn from an external point to a circle?
The tangents are equal in length.
What is the formula for the Intersecting Chords Theorem?
If chords AB and CD intersect at point E, then AE × EB = CE × ED.
What is the formula for the intersecting chords when AE = 5 cm, EB = 3 cm, and CE = 4 cm?
Use AE × EB = CE × ED to find ED.
