11.2 Pythagorean Theorem.

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Presentation transcript:

11.2 Pythagorean Theorem

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

a²+b²=c² 1.) Plug in a leg and c 2.) Square the leg and c 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 1.) Plug in a leg and c 2.) Square the leg and c 3.) Subtract the leg from c

Find the missing side of the right triangle in the 1 centimeter grid below. 0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 8 9 10 11 12 13 x 6 8 0 1 2 3 4 5 6 7 8 9 10 11 12 13

Find the missing side of the right triangle in the 1 centimeter grid below. 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 1 2 3 4 5 6 7 4 x 7 0 1 2 3 4 5 6 7 8 9 10 11 12 13

Find the missing side of the right triangle in the 1 centimeter grid below. 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 1 2 3 4 5 6 7 12 5 x 0 1 2 3 4 5 6 7 8 9 10 11 12 13

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

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

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

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

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? x 20 ft. 8 ft.

Homework Page 567 (14-32) even