1. Bell Ringer
Classify each angle as acute, obtuse, right, or straight. #1. 30° #2. 86° #3. 90° #4. 145°

2. Supply Check You need to get out: YOU MAY NOT BORROW FROM A NEIGHBOR
A piece of paper
A pencil
A calculator
A red pen (any color other than black)
YOU MAY NOT BORROW FROM A NEIGHBOR

3. Homework Check

4. Homework Check

5. Homework Check

6. Homework Turn In The Homework Sheet should be on top.
Directly behind the Homework Sheet should be Wednesday’s.
Directly behind Wednesday’s should be Thursdays.

7. Section 10.4 The Triangle Inequality Theorem The Pythagorean Theorem
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8. The Triangle Inequality Theorem

9. Use the Triangle Inequality Theorem to Fill in the Last Column

10. Vocabulary Legs – The sides adjacent to the right angle
Hypotenuse – The side opposite the right
angle; the longest side of a right triangle
Pythagorean Theorem – Describes the
relationship between the lengths of the legs
and the hypotenuse for any right triangle
Solving a Right Triangle- Using the
Pythagorean Theorem to find the length of
the side of a triangle

11. Notes

12. Example 1 Find the Hypotenuse Length

13. Example 2 Find the Hypotenuse Length

14. Your Turn

15. Example 3

16. Example 4
A ladder positioned against a 10-foot building reaches its top. Its base is 3 feet from the building. About how long is the ladder in feet? Round to the nearest tenth.

17. Your Turn

18. Example 5 Solve a Right Triangle

19. Example 6 Solve a Right Triangle
A diagonal path through a rectangular garden is 32 feet long. The length of the garden is 24 feet. About how many feet wide is the garden?

20. Your Turn
A 15-foot ladder is leaning against a house. The base of the ladder is 3.5 feet from the house. About how many feet does the ladder reach on the side of the house?

21. Notes
The Pythagorean Theorem is written in if-then form. If you reverse the statements after if and then, you have formed the converse of the Pythagorean Theorem.
Pythagorean Theorem:
If a triangle is a right triangle then c2 = a2 + b2
Converse:
If c2 = a2 + b2, then a triangle is a right triangle.

22. Example 7 Identify a Right Triangle

23. Example 8 Identify a Right Triangle

24. Your Turn
A. 8 in., 9 in., 12 in.
B. 15mm, 20mm, 25mm

25. Class Work 10.2 Ext. #5-7, 14-16

26. Class Work Section 10.3 #1-19

27. Class Work Section 10.3 #1-19

28. Class Work Section 10.3 #1-19

29. Class Work Section 10.3 #1-19