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Inequalities for Sides and Angles of a Triangle

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Inequalities for Sides and Angles of a Triangle. Section 5.5. Warm Up. Find the missing angle. In Δ ABC, m∠ A = 9x-4, m∠ B= 4x – 16, m∠ C= 68-2x. Find x and the measure of each angle. - PowerPoint PPT Presentation
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Section 5.5
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Page 1: Inequalities for Sides and Angles of a Triangle

Section 5.5

Page 2: Inequalities for Sides and Angles of a Triangle

1. Find the missing angle.

2. In ΔABC, m A = 9x-4, m B= 4x – 16, m C= 68-∠ ∠ ∠2x.

Find x and the measure of each angle.

Page 3: Inequalities for Sides and Angles of a Triangle

The angle opposite the longest side of a triangle is the biggest angle and the angle opposite the shortest side of a triangle is the smallest angle.

Page 4: Inequalities for Sides and Angles of a Triangle

Write the angles in order from smallest to largest.

Page 5: Inequalities for Sides and Angles of a Triangle

Write the sides in order from shortest to longest.

Page 6: Inequalities for Sides and Angles of a Triangle

m∠ A = 9x + 29m∠ B = 93 – 5xm∠ C = 10x + 2

Page 7: Inequalities for Sides and Angles of a Triangle

m∠ A = 9x - 4m∠ B = 4x - 16m∠ C = 68 – 2x

Page 8: Inequalities for Sides and Angles of a Triangle

m∠ A = 12x - 9m∠ B = 62 – 3xm∠ C = 16x + 2

Page 9: Inequalities for Sides and Angles of a Triangle
Page 10: Inequalities for Sides and Angles of a Triangle

Compare mBAC and mDAC.

Compare EF and FG.

Page 11: Inequalities for Sides and Angles of a Triangle

Compare mEGH and mEGF.

Compare BC and AB.

Page 12: Inequalities for Sides and Angles of a Triangle

The distances of 3 blocks and 4 blocks are the same in both triangles.

Page 13: Inequalities for Sides and Angles of a Triangle

Lesson Quiz: Part I

1. Compare mABC and mDEF.

2. Compare PS and QR.

Page 14: Inequalities for Sides and Angles of a Triangle

A (5,2)B(-5,3)C(-2,-2)

Page 15: Inequalities for Sides and Angles of a Triangle

A (4,3)B(-3, 2)C(1, -2)


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