Incircle of a Triangle
We will discuss here the Incircle of a triangle and the incentre of the triangle.
The circle that lies inside a triangle and touches all the three sides of the triangle is known as the incircle of the triangle.
If all the three sides of a triangle touch a circle then the sides of the triangle are tangents to the circle. Hence, the centre of the circle is located at the point of intersection of the internal bisectors of the angles of the triangle. This point is called the incentre of the triangle and is equidistant from the sides of the triangle.
The radius of this circle is equal to the shortest (perpendicular) distance between the incentre and any one of the sides.
Here, the incircle of ∆XYZ is the circle with centre O and radius equal to OA, or OB, or OC.
Also, XB = XC, YA = YB and ZA = ZC.
From Incircle of a Triangle to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Recent Articles
-
2nd Grade Geometry Worksheet | Plane and Solid Shapes | Point | Line
Dec 14, 24 02:12 PM
2nd grade geometry worksheet -
2nd grade math Worksheets | Free Math Worksheets | By Grade and Topic
Dec 14, 24 12:25 PM
2nd grade math worksheets is carefully planned and thoughtfully presented on mathematics for the students. -
Patterns in Numbers | Patterns in Maths |Math Patterns|Series Patterns
Dec 13, 24 08:43 AM
We see so many patterns around us in our daily life. We know that a pattern is an arrangement of objects, colors, or numbers placed in a certain order. Some patterns neither grow nor reduce but only r… -
Patterns in Math | Missing Number | Counting Numbers | Worksheets
Dec 13, 24 12:31 AM
Finding patterns in math is very important to understand the sequence in the series. We need to find the exact missing number that from the group of numbers. The counting numbers may be counting -
Concept of Pattern | Similar Patterns in Mathematics | Similar Pattern
Dec 12, 24 11:22 PM
Concept of pattern will help us to learn the basic number patterns and table patterns. Animals such as all cows, all lions, all dogs and all other animals have dissimilar features. All mangoes have si…
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.