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.

Incircle of a Triangle

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.





10th Grade Math

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.



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.

Share this page: What’s this?

Recent Articles

  1. Estimating Sum and Difference | Reasonable Estimate | Procedure | Math

    May 22, 24 06:21 PM

    The procedure of estimating sum and difference are in the following examples. Example 1: Estimate the sum 5290 + 17986 by estimating the numbers to their nearest (i) hundreds (ii) thousands.

    Read More

  2. Round off to Nearest 1000 |Rounding Numbers to Nearest Thousand| Rules

    May 22, 24 06:14 PM

    Round off to Nearest 1000
    While rounding off to the nearest thousand, if the digit in the hundreds place is between 0 – 4 i.e., < 5, then the hundreds place is replaced by ‘0’. If the digit in the hundreds place is = to or > 5…

    Read More

  3. Round off to Nearest 100 | Rounding Numbers To Nearest Hundred | Rules

    May 22, 24 05:17 PM

    Round off to Nearest 100
    While rounding off to the nearest hundred, if the digit in the tens place is between 0 – 4 i.e. < 5, then the tens place is replaced by ‘0’. If the digit in the units place is equal to or >5, then the…

    Read More

  4. Round off to Nearest 10 |How To Round off to Nearest 10?|Rounding Rule

    May 22, 24 03:49 PM

    Rounding to the Nearest 10
    Round off to nearest 10 is discussed here. Rounding can be done for every place-value of number. To round off a number to the nearest tens, we round off to the nearest multiple of ten. A large number…

    Read More

  5. Rounding Numbers | How do you Round Numbers?|Nearest Hundred, Thousand

    May 22, 24 02:33 PM

    rounding off numbers
    Rounding numbers is required when we deal with large numbers, for example, suppose the population of a district is 5834237, it is difficult to remember the seven digits and their order

    Read More