What is Tangent Secant Theorem?
The tangent secant theorem as the name suggests states the geometric relationship between the lengths of tangent and secant of any circle. Tangent-Secant Theorem is also known as the Secant-Tangent Theorem. We will discuss the statement of tangent secant theorem below.
Tangent Secant Theorem Statement
The tangent secant theorem states
When a tangent and secant drawn from the point outside the circle then, the square of length of the tangent is equal to the total length of secant multiplied by the outer length of the secant.
In the above figure O is the center of the circle, AB be the tangent of the circle from the external point A and ACD be the secant of the circle where C and D are the points on the circle.
According to the Tangent Secant Theorem
AB2 = AD × AC
Tangent Secant Theorem
Tangent Secant Theorem is the fundamental theorem in geometry. Tangent and secant are the important parts of the circle. The tangent secant theorem is used in various fields of mathematics, construction, and many more. Tangents and secants are the lines that intersect the circle at some points.
In this article, we will learn about the Tangent Secant theorem in detail along with its statement and proof. It also covers the applications and limitations of the tangent secant theorem and some solved examples of the Tangent Secant Theorem. Let’s start our learning on the topic Tangent Secant theorem.
Table of Content
- What is Tangent and Secant?
- What is Tangent Secant Theorem?
- Proof of Tangent Secant Theorem
- Limitation and Applications of Tangent Secant Theorem
- Solved Problems
- FAQs
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