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Circumcenter. In GeoGebra, construct a triangle ABC and the circumcenter O. Move the vertices A, B, C around and observe possible locations for the circumcenter. For each of the following questions, take a screenshot and write a sentence with your conjecture. a. For what shape of triangles is the circumcenter outside the triangle? b. For what shape of triangles is the circumcenter on the triangle? c. For what shape of triangles is the circumcenter inside the triangle?

Circumcenter. In GeoGebra, construct a triangle ABC and the circumcenter O. Move the vertices A, B, C around and observe possible locations for the circumcenter. For each of the following questions, take a screenshot and write a sentence with your conjecture. a. For what shape of triangles is the circumcenter outside the triangle? b. For what shape of triangles is the circumcenter on the triangle? c. For what shape of triangles is the circumcenter inside the triangle?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Circumcenter. In GeoGebra, construct a triangle ABC and the circumcenter O. Move the vertices A, B, C around and observe possible locations for the circumcenter. For each of the following questions, take a screenshot and write a sentence with your conjecture. a. For what shape of triangles is the circumcenter outside the triangle? b. For what shape of triangles is the circumcenter on the triangle? c. For what shape of triangles is the circumcenter inside the triangle?
Transcribed Image Text:Circumcenter. In GeoGebra, construct a triangle ABC and the circumcenter O. Move the vertices A, B, C around and observe possible locations for the circumcenter. For each of the following questions, take a screenshot and write a sentence with your conjecture. a. For what shape of triangles is the circumcenter outside the triangle? b. For what shape of triangles is the circumcenter on the triangle? c. For what shape of triangles is the circumcenter inside the triangle?
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Construct a triangle ABC and the circumcenter O. Move the vertices A,B, and C to observe the location of circumcenter.

  1. For what shape of triangles is the circumcenter outside the triangle?
  2. For what shape of triangles is the circumcenter on the triangle?
  3. For what shape of triangles is the circumcenter inside the triangle?

Circumcenter:

Circumcenter of a triangle ABC is the point where all the three perpendicular bisectors of three sides of the triangle intersect.

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