
How to Use the Circle Theorem where Tangents from the Same Point Are the Same Length
Question
The tangent OA is 10 cm in length. What is the length of the tangent OB?
Step-by-Step:
1
Tangents drawn from the same point outside of the circle have the same length.
OB = OA = 10 cm
Answer:
The tangent OB has length 10 cm.Useful Definitions
A tangent is a line that touches the circle at one point.
Tangents from the Same Point Form Right Congruent Triangles
Congruent triangles are the same shape. The corresponding sides and angles are the same. The tangents from the same point form congruent right triangles with the radii to the tangents and the line halfway between the tangents.
You might also like...
geometryangles in a cyclic quadrilateralalternate segment theoremunderstanding the types of triangles
Help Us Improve Mathematics Monster
- Do you disagree with something on this page?
- Did you spot a typo?
Find Us Quicker!
- When using a search engine (e.g., Google, Bing), you will find Mathematics Monster quicker if you add #mm to your search term.
Share This Page

If you like Mathematics Monster (or this page in particular), please link to it or share it with others.
If you do, please tell us. It helps us a lot!
Create a QR Code

Use our handy widget to create a QR code for this page...or any page.