1. Splash Screen

2. Lesson Menu Five-Minute Check (over Lesson 12–1) Main Idea and Vocabulary Key Concept: Pythagorean Theorem Example 1:Find the Length of the Hypotenuse Example 2:Real-World Example Example 3:Find the Length of a Leg Example 4:Test Example

3. Main Idea/Vocabulary leg hypotenuse Pythagorean Theorem Find length using the Pythagorean Theorem.

4. KC BrainPOP: The Pythagorean Theorem

5. Example 1 Find the Length of the Hypotenuse Find the length of the hypotenuse of the triangle.

6. Example 1 Find the Length of the Hypotenuse Answer: The length of the hypotenuse is about 6.3 mm.

7. 1.A 2.B 3.C 4.D Example 1 A.3.5 cm B.4.9 cm C.7.4 cm D.8.6 cm Find the length of the hypotenuse for a right triangle that has legs measuring 5 centimeters and 7 centimeters.

8. Example 2 SPORTS A gymnastics tumbling floor is in the shape of a square with sides 12 meters long. If a gymnast flips from one corner to the opposite corner, about how far has he flipped?

9. Example 2 Answer: The gymnast will have flipped about 17 meters. Evaluate 12 2. Definition of square root

10. 1.A 2.B 3.C 4.D Example 2 A.about 42.6 in B.about 51.3 in C.about 57.8 in D.about 64.5 in SEWING Rose has a rectangular piece of fabric measuring 28 inches in length and 16 inches in width. She wants to decorate the fabric with a piece of lace sewn across both diagonals. How much lace will Rose need to complete the project?

11. Example 3 Find the Length of a Leg Find the missing measure of the triangle below.

12. Example 3 Find the Length of a Leg Answer: The length of the leg is 12 centimeters. Definition of square root

13. 1.A 2.B 3.C 4.D Example 3 A.13 in. B.15.1 in. C.18.7 in. D.21.3 in. Find the missing measure of the triangle shown. Round to the nearest tenth if necessary.

14. Example 4 Televisions are measured according to their diagonal measure. If the diagonal of a television is 36 inches, and its height is 21.6 inches, what is its width? Read the Item The diagonal of the television is the hypotenuse of a right triangle. Write an equation and solve for b. A 42.0 in.B 28.8 in.C 14.4 in.D 57.6 in.

15. Example 4 Solve the Item Replace a with 21.6 and c with 36. Definition of square root

16. Example 4 Answer: The width of the television is 28.8 inches. So, the answer is B.

17. 1.A 2.B 3.C 4.D Example 4 A.about 43.6 ft B.about 52.0 ft C.about 61.9 ft D.about 65.7 ft SWIMMING The diagonal of a rectangular swimming pool measures 60 feet. Find the length of the pool if the width measures 30 feet. Round to the nearest tenth if necessary.

18. End of the Lesson

19. Resources Five-Minute Check (over Lesson 12–1) Image Bank Math Tools The Pythagorean Theorem

20. 1.A 2.B 3.C 4.D Five Minute Check 1 (over Lesson 12-1) A.14 B.13 C.12 D.11 Estimate to the nearest whole number.

21. 1.A 2.B 3.C 4.D Five Minute Check 2 (over Lesson 12-1) A.13 B.14 C.15 D.16 Estimate to the nearest whole number.

22. 1.A 2.B 3.C 4.D Five Minute Check 3 (over Lesson 12-1) A.6 B.7 C.8 D.9 Estimate to the nearest whole number.

23. 1.A 2.B 3.C 4.D Five Minute Check 4 (over Lesson 12-1) A.4.3 B.4.1 C.3.8 D.1.4 Use a calculator to find to the nearest tenth.

24. 1.A 2.B 3.C 4.D Five Minute Check 5 (over Lesson 12-1) A.8.7 B.8.9 C.9.1 D.9.3 Use a calculator to find to the nearest tenth.

25. 1.A 2.B 3.C 4.D Five Minute Check 6 (over Lesson 12-1) Identify the number with the greatest value. A.(–2) 2 B. C. D.3.14

26. End of Custom Shows