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High School Math Geometry McDougal Littell Jurgensen Geometry: Student Edition Geometry

what type of lines intersect at the centre of inscribed triangle .

what type of lines intersect at the centre of inscribed triangle .

McDougal Littell Jurgensen Geometry: Student Edition Geometry

McDougal Littell Jurgensen Geometry: Student Edition Geometry

5th Edition

ISBN: 9780395977279

Author: Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

Publisher: Houghton Mifflin Company College Division

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Question

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

Chapter 10.3, Problem 1EX

To determine

what type of lines intersect at the centre of inscribed triangle.

Expert Solution & Answer

Answer to Problem 1EX

All the angle bisectors intersect at a point O.

Explanation of Solution

Given:

AO, BO, CO lines are the angle bisectors of triangle ABC.

Calculation:

Construct a triangle ABC which inscribes a circle in it.

McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 10.3, Problem 1EX

From the figure, we have:

∠ABD=12∠ABC∠ACD=12∠ACB∠BAD=12∠BAC .

And all the angle bisectors meet at a point O.

Chapter 10.3, Problem 3MRE

Chapter 10.3, Problem 2EX

Chapter 10 Solutions

McDougal Littell Jurgensen Geometry: Student Edition Geometry

Ch. 10.1 - Prob. 1CE Ch. 10.1 - Prob. 2CE Ch. 10.1 - Prob. 3CE Ch. 10.1 - Prob. 4CE Ch. 10.1 - Prob. 5CE Ch. 10.1 - Prob. 6CE Ch. 10.1 - Prob. 1WE Ch. 10.1 - Prob. 2WE Ch. 10.1 - Prob. 3WE Ch. 10.1 - Prob. 4WE

Ch. 10.1 - Prob. 5WE Ch. 10.1 - Prob. 6WE Ch. 10.1 - Prob. 7WE Ch. 10.1 - Prob. 8WE Ch. 10.1 - Prob. 9WE Ch. 10.1 - Prob. 10WE Ch. 10.1 - Prob. 11WE Ch. 10.1 - Prob. 12WE Ch. 10.1 - Prob. 13WE Ch. 10.1 - Prob. 14WE Ch. 10.1 - Prob. 15WE Ch. 10.1 - Prob. 16WE Ch. 10.1 - Prob. 17WE Ch. 10.1 - Prob. 18WE Ch. 10.1 - Prob. 19WE Ch. 10.1 - Prob. 20WE Ch. 10.1 - Prob. 21WE Ch. 10.1 - Prob. 22WE Ch. 10.1 - Prob. 23WE Ch. 10.1 - Prob. 24WE Ch. 10.1 - Prob. 25WE Ch. 10.1 - Prob. 26WE Ch. 10.1 - Prob. 1MRE Ch. 10.1 - Prob. 2MRE Ch. 10.1 - Prob. 3MRE Ch. 10.1 - Prob. 4MRE Ch. 10.1 - Prob. 5MRE Ch. 10.1 - Prob. 6MRE Ch. 10.2 - Prob. 1CE Ch. 10.2 - Prob. 2CE Ch. 10.2 - Prob. 3CE Ch. 10.2 - Prob. 4CE Ch. 10.2 - Prob. 5CE Ch. 10.2 - Prob. 6CE Ch. 10.2 - Prob. 7CE Ch. 10.2 - Prob. 8CE Ch. 10.2 - Prob. 9CE Ch. 10.2 - Prob. 10CE Ch. 10.2 - Prob. 11CE Ch. 10.2 - Prob. 12CE Ch. 10.2 - Prob. 13CE Ch. 10.2 - Prob. 1WE Ch. 10.2 - Prob. 2WE Ch. 10.2 - Prob. 3WE Ch. 10.2 - Prob. 4WE Ch. 10.2 - Prob. 5WE Ch. 10.2 - 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