PPT-Pythagorean Theorem  the square of the hypotenuse (the side opposite the right angle)

OR a 2 b 2 c 2 c a b leg leg hypotenuse Pythagorean Triples A set of nonzero whole numbers a b and c that satisfy the equation a 2 b 2 c 2 Here are some common ones to remember. A geometric realization of a proof in . H. Wu’s “Teaching Geometry According to the Common Core Standards”. B. A. C. c. a. b. Given a right triangle . . ABC with legs . a. and . b. and hypotenuse . Draw one straight line crossing another straight line. Measure all 4 angles.. C. A B. D. Angle A = Angle B Angle C = Angle D. 1. 1.7.3: Proving the Pythagorean Theorem Using Similarity. Woodworkers must accurately cut and assemble each piece of wood to ensure that a project . is “. square.” Every vertical piece should intersect every horizontal piece at a 90˚ angle. To . Theorem. A . tool. for . right . triangle. problems. What is a right triangle?. It is a triangle which has an angle that is . 90. degrees. . The two sides that make up the right angle are called . for hypotenuses, legs . and distance. Pythagorean Theorem. Right Triangles. Leg. . Leg. Hypotenuse. Pythagorean Theorem. a. b. c. In a RIGHT triangle, if a and b are the lengths of the legs and c is hypotenuse, then….. Nicole Scicutella. Goals. Students will develop an understanding of the pythagorean theorem using jelly beans. Students will have a visual understanding of area reflects on pythagorean theorem. OBJECTIVES. The Pythagorean Theorem. In words:. As an equation:. Pythagorean Triples. A set of nonzero whole numbers a, b, and c that satisfy the equation . is called a Pythagorean triple. Example: 3, 4, 5 or 8, 15, 17. THEOREM. (3, 4, 5). (6, 8, 10). (12, 16, 20). (5, 12, 13). (10, 24, 26). (7, 24, 25). (8, 15, 17). (9, 40, 41). (11, 60, 61). (12, 35, 37). (20, 21, 29). PYTHAGOREAN TRIPLES. In a right triangle, if “a” and “b” represent the lengths of the legs and “c” represents the length of the hypotenuse, find the missing side length in each of the following:. for grades 9-12. Erica Papa. Table of Contents . Title Page. Table of contents. Where did the Pythagorean Theorem come from? . Pythagoras. Pythagorean Theorem equation. Can you label the triangle?. Leading to Pythagorean Triples. Warm Up. Lesson Presentation. Lesson Quiz. Holt McDougal Geometry. Pythagorean Theorem. Warm Up. Classify each triangle by its angle measures.. 1.. . . 2.. . 3. . Simplify . 4. . If . 2. B. 2 . = C. 2. THE PYTHAGOREAN THEOREM. LEG A. LEG B. HYPOTENUSE. PARTS OF A RIGHT TRIANGLE. THE PYTHAGOREAN THEOREM. DIAGONALS. SIDES. PARTS OF A RECTANGLE. OR SQUARE. SIDES. NOTICE TWO RIGHT TRIANGLES FORM A RECTANGLE. 1. 0. In addition to level 3.0 and beyond what was taught in class, the student may. : . Make connection with other concepts in math.. Make connection with other content areas.. Explain the relationship between the Pythagorean Theorem and the distance formula.. 4. 3. 2. 1. 0. In addition to level 3.0 and beyond what was taught in class, the student may. : . Make connection with other concepts in math.. Make connection with other content areas.. Explain the relationship between the Pythagorean Theorem and the distance formula.. .. . OR. . . a. 2. + b. 2. = c. 2. c. a. b. leg. leg. hypotenuse. Pythagorean Triples. A set of nonzero whole numbers a, b, and c that satisfy the equation a. 2. + b. 2. = c. 2. Here are some common ones to remember:.