*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 incenter. Drag point A, B, or C to see how the incenter changes.

You Try!

You must: 1. Use the polygon tool to draw a triangle. 2. Construct the three angle bisectors of the triangle (use your notes if necessary). 3. Mark the incenter. 4. Create a segment from the incenter that intersects the triangle's side at a 90 degree angle. 5. Draw your incircle; 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?

Zaznacz odpowiedź tutaj

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

Sprawdź moją odpowiedź (3)

https://nrich.maths.org/1401

Skim the article for information about incenters and fun facts about them. What information surprised you?

*Angle Bisector, Incenter, and Incircle of a Triangle

The Incenter (point X1)

You Try!

Angle Bisectors, Incenter, and Incircle

Incenters

https://nrich.maths.org/1401

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