Pythagorean Theorem Intro

1. MONDAY MARCH 28TH

2. Name- ________________________ Warm-Up Date- _________________________ Directions: Find the square root for each problem below. A. B. C. D.

3. ANSWER KEY

4. The Pythagorean Theorem I can determine the relationship between the sides of a right triangle. The lesson will explain: • The PythagoreanTheorem • how to find missing sides • Pythagorean triples

5. The Pythagorean Theorem

6. Math Antics Video - Click here to watch.

7. Pythagorean Theorem Pythagoras lived a long time ago in _________. The Pythagorean Theorem describes a relationship between the three sides of a __________ ____________. For a right triangle with legs ____ and ____ and hypotenuse ____, ____2+____2=____2 The hypotenuse is the ____________ side of a right triangle and it is always opposite the _________ _________. The variable ____ stands for the hypotenuse in the theorem. The other two sides of the triangle are called the _____. Variables ____ and ____ represent their lengths. It does ____ matter which leg is which.

8. Pythagorean Theorem Pythagoras lived a long time ago in _________. The Pythagorean Theorem describes a relationship between the three sides of a __________ ____________. For a right triangle with legs ____ and ____ and hypotenuse ____, ____2+____2=____2 The hypotenuse is the ____________ side of a right triangle and it is always opposite the _________ _________. The variable ____ stands for the hypotenuse in the theorem. The other two sides of the triangle are called the _____. Variables ____ and ____ represent their lengths. It does ____ matter which leg is which. Greece Right Triangle a b c a b c longest right angle c legs a b NOT

9. The Pythagorean Theorem Watching the video, click here. Math Antics (12:54) Watch the video, click here NFL (3:44)

11. Hands on activity to prove a2 + b2 = c2 (Use the video with the post-it notes. Easier to understand. (2:23) Pythagorean Theorem - Six Proofs Video Pythagorean Theorem - Water Pour Video Pythagorean Theorem - Football Video Pythagorean Theorem in Two Minutes Video Pythagorean Theorem in Song Video

14. If it is a right triangle, then a² + b² = c². a triangle with a 90° angle cuts a rectangle into 2 congruent right triangles the longest side of a right triangle: c the two shorter sides of a right triangle: a and b If a² + b² = c², then it is a right triangle.

15. If it is a right triangle, then a² + b² = c². a triangle with a 90° angle cuts a rectangle into 2 congruent right triangles the longest side of a right triangle: c the two shorter sides of a right triangle: a and b If a² + b² = c², then it is a right triangle.

16. If it is a right triangle, then a² + b² = c². a triangle with a 90° angle cuts a rectangle into 2 congruent right triangles the longest side of a right triangle: c the two shorter sides of a right triangle: a and b If a² + b² = c², then it is a right triangle.

17. If it is a right triangle, then a² + b² = c². a triangle with a 90° angle cuts a rectangle into 2 congruent right triangles the longest side of a right triangle: c the two shorter sides of a right triangle: a and b If a² + b² = c², then it is a right triangle.

18. If it is a right triangle, then a² + b² = c². a triangle with a 90° angle cuts a rectangle into 2 congruent right triangles the longest side of a right triangle: c the two shorter sides of a right triangle: a and b If a² + b² = c², then it is a right triangle.

19. If it is a right triangle, then a² + b² = c². a triangle with a 90° angle cuts a rectangle into 2 congruent right triangles the longest side of a right triangle: c the two shorter sides of a right triangle: a and b If a² + b² = c², then it is a right triangle.

20. If it is a right triangle, then a² + b² = c². a triangle with a 90° angle cuts a rectangle into 2 congruent right triangles the longest side of a right triangle: c the two shorter sides of a right triangle: a and b If a² + b² = c², then it is a right triangle.