*Angle Bisector, Incenter, and Incircle of a Triangle

The Incenter (point X1)

The point of concurrency for the angle bisectors of a triangle is the [u]incenter[/u].[br]Drag point A, B, or C to see how the incenter changes.

You Try!

You must:[br]1. Use the polygon tool to draw a triangle. [br]2. Construct the three angle bisectors of the triangle (use your notes if necessary).[br]3. Mark the incenter.[br]4. Create a segment from the incenter that intersects the triangle's side at a 90 degree angle. [br]5. Draw your [u]incircle[/u]; the circle that is tangent to each side of your triangle, contained within the triangle, centered at the incenter with a radius of the segment constructed in step 4.

Angle Bisectors, Incenter, and Incircle

Incenters

Where is the incenter located?

Sometimes inside the triangle, sometimes on the right angle vertex, sometimes outside the triangle. Always outside the triangle. Sometimes inside the triangle, sometimes at the midpoint of the hypotenuse, sometimes outside the triangle. Always inside the triangle.

https://nrich.maths.org/1401

[color=#bf9000]Skim the article for information about incenters and fun facts about them. What information surprised you? [/color]

Zamknij

Informacja: *Angle Bisector, Incenter, and Incircle of a Triangle