1. Inequalities for Sides and Angles of a Triangle
Section 5.5

2. Warm Up Find the missing angle.
In ΔABC, m∠ A = 9x-4, m∠ B= 4x – 16, m∠ C= 68-2x.
Find x and the measure of each angle.

3. 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.

4. Write the angles in order from smallest to largest.

5. Write the sides in order from shortest to longest.

6. Find the value of x and list the sides of triangle ABC from shortest to longest.
m∠ A = 9x + 29
m∠ B = 93 – 5x
m∠ C = 10x + 2

7. Find the value of x and list the sides of triangle ABC from longest to shortest.
m∠ A = 9x - 4
m∠ B = 4x - 16
m∠ C = 68 – 2x

8. Find the value of x and list the sides of triangle ABC from longest to shortest.
m∠ A = 12x - 9
m∠ B = 62 – 3x
m∠ C = 16x + 2

10. Compare mBAC and mDAC.
Compare EF and FG.

11. Compare mEGH and mEGF.
Compare BC and AB.

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

13. Lesson Quiz: Part I
1. Compare mABC and mDEF.
2. Compare PS and QR.

14. List the angles from smallest to largest if:
B(-5,3)
C(-2,-2)

15. List the angles from smallest to largest if:
B(-3, 2)
C(1, -2)