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. Worksheet on 6 Times Table | Printable Multiplication Table | Video

    Mar 16, 25 03:09 PM

    worksheet on multiplication of 6 times table
    Printable worksheet on 6 times table can be used from everywhere. Homeschoolers can also use these multiplication table sheets to practice at home.

    Read More

  2. Worksheet on 5 Times Table | Printable Multiplication Table | Video

    Mar 16, 25 01:25 PM

    worksheet on multiplication of 5 times table
    Printable worksheet on 5 times table can be used from everywhere. Homeschoolers can also use these multiplication table sheets to practice at home.

    Read More

  3. Worksheet on 3 Times Table | Printable Multiplication Table | Video

    Mar 16, 25 12:59 PM

    worksheet on multiplication of 3 times table
    Printable worksheet on 3 times table can be used from everywhere. Homeschoolers can also use these multiplication table sheets to practice at home.

    Read More

  4. 5th Grade Math Worksheets | 5th Grade Homework Sheets | Math Worksheet

    Mar 16, 25 12:50 PM

    5th grade math worksheets is carefully planned and thoughtfully presented on mathematics for the students. Teachers and parents can also follow the worksheets to guide the students.

    Read More

  5. Fundamental Operations on Large Numbers Worksheet | 5th Grade Numbers

    Mar 16, 25 11:37 AM

    Fundamental Operations on Large Numbers Worksheet
    fundamental operations on large numbers worksheet

    Read More