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Chapter 5

Chapter 5 . 5-6 inequalities in two triangles. Objectives. Apply inequalities in two triangles. Inequalities theorems. Example 1A: Using the Hinge Theorem and Its Converse . Compare m ? BAC and m ? DAC . Compare the side lengths in ? ABC and ? ADC .

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The Triangle Inequality Thm. & Inequalities Involving 2 Triangles

The Triangle Inequality Thm. & Inequalities Involving 2 Triangles. Section 5-4 and 5-5. Triangle Inequality Thm. The sum of the lengths of any two sides of a triangle is greater than the length of the 3 rd side. B. AB + BC > AC. 6. 7. C. A. 10. Theorem 5-12.

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Example 1A:

Example 1A:. Compare m ? BAC and m ? DAC. Compare the side lengths in ? ABC and ? ADC. AB = AD AC = AC BC > DC. By the Converse of the Hinge Theorem, m ? BAC > m? DAC. Example 1B:. Compare EF and FG. Compare the sides and angles in ? EFH angles in ? GFH.

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Chapter 5

The Triangle Inequality Thm. &amp; Inequalities Involving 2 Triangles

Example 1A:

The Triangle Inequality Thm. & Inequalities Involving 2 Triangles