Determine whether each set of numbers can be measure of the sides of a triangle If so, classify the triangle as acute, obtuse, or right Justify your answer 11
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DATE — Skills Practice a +6=c? The Pythagorean Theorem and Its Converse q² +12²= x² x ²+12²= 132 triangle as acute, obtuse, or right Justify your answer
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Determine whether each set of numbers can be measure of the sides of a triangle If so, classify the triangle as acute, obtuse, or right Justify your answer 13
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DATE PERIOD 8-2 Skills Practice Che Pythagorean Theorem and Its Converse Find x 1 1 N13 11168=4573 S 146875 Use a Pythagorean Triple to find x
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Objectives: Use the Pythagorean Theorem and it's converse to solve problems Answers should whole numbers, or in simplest radical form 6 EX 1: EX 2:
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Determine whether each set of numbers can be measure of the sides of a triangle If so, classify the triangle as acute, obtuse, or right Justify your answer 11
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Draw a picture, show your work and leave answers as simplified radicals (where Practice The Pythagorean Theorem and Its Converse Find x - q²+x²=262
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8-1 Skills Practice Geometric Mean 5X = 28 The Pythagorean Theorem and Its Converse there for elbiy a 132_12²= x² Justify your answer 13 7, 24, 25
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Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Compan ies, Inc.
NAME DATE PERIOD
Chapter 8 14 Glencoe Geometry
Practice
The Pythagorean Theorem and Its Converse
Find x.
1. x1323 2. x34 213. x26 2618
4. x34 22
5. x16 14 6. x242442
Use a Pythagorean Triple to find
x 7. 3627x 8.
120136
x 9. 6539x
10. 42
150x Determine whether each set of numbers can be measure of the sides of a t riangle.
If so, classify the triangle as
acute, obtuse, or right . Justify your answer.11. 10, 11, 20 12. 12, 14, 49 13. 5
⎷ ? 2 , 10, 1114. 21.5, 24, 55.5 15. 30, 40, 50 16. 65, 72, 97
17. CONSTRUCTION The bottom end of a ramp at a warehouse is10 feet from the base of the main dock and is 11 feet long. How
high is the dock?11 ft?dock
ramp10 ft 8-2698 ≈ 26.4
715 ≈ 26.7
595 ≈ 24.4
1640 ≈ 40.5
60 ≈ 7.7
135 ≈ 11.6
about 4.6 ft high 4552
yes, obtuse triangle; no, 12 14 < 49; yes, acute triangle; 10 2 + 11 2 < 20 2 5 2 2 + 10 2 > 11 2 no, 21.5 + 24 < 55.5 yes, right triangle; yes, right triangle; 30
2 + 40 2 = 50 2 65
2 + 72 2 = 97 2 64
144
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