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11.2 Pythagorean Theorem. Applies to Right Triangles Only! leg Leg a hypotenuse c Leg b.

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Presentation on theme: "11.2 Pythagorean Theorem. Applies to Right Triangles Only! leg Leg a hypotenuse c Leg b."— Presentation transcript:

1 11.2 Pythagorean Theorem

2 Applies to Right Triangles Only! leg Leg a hypotenuse c Leg b

3

4 a²+b²=c² Looking for hypotenuse Steps: 1.)Plug in a and b into the equation 2.)Square a and b 3.) Add the squares 4.) Take the square root Looking for a leg Steps: 1.) Plug in a leg and c 2.) Square the leg and c 3.) Subtract the leg from c 4.) Take the square root

5 Find the missing side of the right triangle in the 1 centimeter grid below. 8 6 0 1 2 3 4 5 6 7 x

6 Find the missing side of the right triangle in the 1 centimeter grid below. 7 4 0 1 2 3 4 5 6 7 x

7 Find the missing side of the right triangle in the 1 centimeter grid below. 12 5 x 0 1 2 3 4 5 6 7

8 Find the missing side of the right triangle below. 4 10 x

9 Find the missing side of the right triangle below. 3 7 x

10 Can you form a right triangle with the given lengths? 1.) 5, 12, 13 5²+12²=13² 25+144=169 169=169 Yes 2.) 1, 3, √12 1²+3²=(√12)² 1+ 9 =12 10= 12 No

11 A 12 foot ladder leans against a wall. How far must the base of the ladder be placed away from the wall if it is to reach a height of exactly 10 feet? 12 ft. 10 ft. x

12 A guide wire is needed to support a 20 foot pole. How long should the guide wire be if it is to be fixed to the ground 8 feet from the base of the pole? 20 ft. 8 ft. x

13 Homework Page 567 (14-32) even


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