How to Construct the Incenter of a Triangle?
To construct the incenter of a triangle it will require to use a compass. Using a compass follow the below given steps:
Step 1: Put one end of the compass on a vertex of the triangle and the other end touches one side.
Step 2: Use the compass to draw two arcs on two sides of the triangle.
Step 3: With the same distance on the compass, make two arcs inside the triangle. These arcs should cross each other from where they touch the sides.
Step 4: Draw a line from the triangle’s vertex to where the two inside arcs cross.
Step 5: Repeat the same steps from the other vertex of the triangle.
Step 6: Where the two lines meet or cross is the incenter of the triangle.
Incentre of a Triangle
Incenter of a Triangle is the intersection point of all the three angle bisectors of a Triangle. The incenter is an important point in a triangle where lines cutting angles in half come together. This point is also the center of a circle called Incircle that fits perfectly inside the triangle and touches all three sides the same. This article covers various concepts of the incenter of the triangle, such as why this point is important, how to find it using a compass or numbers, and properties of the incenter of the circle.
Table of Content
- What is Incenter of a Triangle?
- Properties of an Incenter of a Triangle
- Incenter of a Triangle Formula
- How to Find Incenter of a Triangle
- Centroid, Circumcenter, Incenter, Orthocenter