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# Chapter 5 day 4 pythagorean thm

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### Chapter 5 day 4 pythagorean thm

1. 1. Geometry drill 1/2/14 Warm Up Classify each triangle by its angle measures. 1. 2. acute 3. Simplify right 12 4. If a = 6, b = 7, and c = 12, find a2 + b2 and find c2. Which value is greater? 85; 144; c2
2. 2. Which is the largest angle and why?
3. 3. Objective  SW define and apply the Pythagorean Theorem so that they can find the dimensions of geometric figures.
4. 4. Right Triangle Def.  Legs-__________ a c
5. 5. Right Triangle Def. a and b  Legs-__________ a c
6. 6. Right Triangle Def. a and b  Legs-__________  Hypotenuse-______ a c
7. 7. Right Triangle Def. a and b  Legs-__________  Hypotenuse-______ c a c
8. 8. Hypotenuse  The ________ side of a right triangle across from the ________ angle.
9. 9. Hypotenuse  longest The ________ side of a right triangle across right from the ________ angle.
10. 10. Pythagorean Theorem  For any right triangle, the sum of the square of the two ___ is equal to c the square a of the _________.
11. 11. Pythagorean Theorem  For any right triangle, the sum of the square of the two legs ___ is equal to c the square a of the _________. hypotenuse
12. 12. Pythagorean Theorem 2+b2=c2 a c a b
13. 13. Corollary to the Pythagorean Theorem  If the sum of the squares of the two shorter sides of a triangle is less than the square of the longest side, then the triangle is ______.
14. 14. Corollary to the Pythagorean Theorem  If the sum of the squares of the two shorter sides of a triangle is less than the square of the longest side, then the triangle is obtuse ______.
15. 15. Corollary to the Pythagorean Theorem  If the sum of the squares of the two shorter sides of a triangle is greater than the square of the longest side, then the triangle is ______.
16. 16. Corollary to the Pythagorean Theorem  If the sum of the squares of the two shorter sides of a triangle is greater than the square of the longest side, then the acute triangle is ______.
17. 17. Corollary to the Pythagorean Theorem  If the sum of the squares of the two shorter sides of a triangle is equal to the square of the longest side, then the triangle is ______.
18. 18. Corollary to the Pythagorean Theorem  If the sum of the squares of the two shorter sides of a triangle is equal to the square of the longest side, then the triangle is right ______.
19. 19. Corollary to the Pythagorean Theorem 2+b2>c2 a acute 2+b2<c2 a obtuse 2+b2=c2 a right
20. 20. Is the following triangle acute, obtuse or right? 12 15 10
21. 21. Is the following triangle acute, obtuse or right? 3 5 4
22. 22. Is the following triangle acute, obtuse or right? 12 20 10
23. 23. Conclusion Summarize the corollary to the Pythagorean theorem: 
24. 24. 1. Find the value of x. 12 2. An entertainment center is 52 in. wide and 40 in. high. Will a TV with a 60 in. diagonal fit in it? Explain.