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PYTHAGOREAN THEOREM. PYTHAGORAS HOMEWORK There are many different proofs that exist that proof the Pythagorean Theorem. Find one and know it for the.

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Presentation on theme: "PYTHAGOREAN THEOREM. PYTHAGORAS HOMEWORK There are many different proofs that exist that proof the Pythagorean Theorem. Find one and know it for the."— Presentation transcript:

1 PYTHAGOREAN THEOREM

2 PYTHAGORAS

3 HOMEWORK There are many different proofs that exist that proof the Pythagorean Theorem. Find one and know it for the Chapter 8 Test!

4 THE EARLY GREEKS THOUGHT OF THE PYTHAGOREAN THEOREM IN THIS FORM: The area of the square on the hypotenuse of a right triangle equals the sum of the areas of the squares on the legs. Draw a diagram to illustrate that interpretation.

5 HTTPS://WWW.YOUTUBE.COM/WATCH?V=PVO6 SZYE13Y

6 WHICH EQUATIONS ARE CORRECT FOR THE RIGHT TRIANGLE?

7 FIND THE VALUE OF X.

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11 FIND THE LENGTH OF A SIDE OF A SQUARE WITH A DIAGONAL OF LENGTH 12.

12 THE DIAGONALS OF A RHOMBUS HAVE LENGTHS 16 AND 30. FIND THE PERIMETER OF THE RHOMBUS.

13 Channing Tatum walked 2 km north, 6 km west, 4 km north, and 2 km west. If he decides to “go straight,’ how far must he walk across the fields to his staring point?

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15 The dimensions of the rectangular box are 6, 4 and 3. Find the length of a diagonal of the box.

16 CONVERSE OF THE PYTHAGOREAN THEOREM

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18 A TRIANGLE HAS SIDES OF THE GIVEN LENGTHS. IS IT ACUTE, RIGHT OR OBTUSE?

19 COORDINATE GEOMETRY

20 DISTANCE FORMULA

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22 A model rocket shot up to a point 20m above the ground, hitting a smokestack, and then dropped straight down to a point 11 m from its launch site. Find, to the nearest meter, the total distance traveled from launch to touchdown.

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