Topic 2: Pythagorean Theorem Converse & Classifying TrianglesGiven a triangle with side lengths a, b, and c:A Recall In order tobe a triangle, the sum ofthe two smaller sldes mustbe greater than thethird largest side.• Ifthen it is a right triangle.• Ifthen it is an acute triangle.• Ifthen it is an obtuse triangle.

Pychagorean Theorem Converse & Classifying Triangles Given a triangle with side lengths a, b, and c: • If then it is a right triangle. • If then it is an acute triangle. • If then it is an obtuse triangle.

Pychagorean Theorem Converse & Classifying Triangles Given a triangle with side lengths a, b, and c: • If then it is a right triangle. • If then it is an acute triangle. • If then it is an obtuse triangle.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Topic 2: Pythagorean Theorem Converse & Classifying Triangles
Given a triangle with side lengths a, b, and c:
A Recall In order to
be a triangle, the sum of
the two smaller sldes must
be greater than the
third largest side.
• If
then it is a right triangle.
• If
then it is an acute triangle.
• If
then it is an obtuse triangle.

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PROOF for: the external angle bisector of two angles of a triangle intersects the internal angle bisector of the third angle in a unique point.