PPT-Using the Pythagorean Theorem in 3-Dimensional Shapes

Pythagorean Theorem Review The Pythagorean Theorem states in any right triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides a 2 b 2 c. 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 . only. When do I need to use. the Pythagorean Theorem ?. When I know: length of 2 sides. And. Need to know: length of 3rd side. What is the Pythagorean Theorem?. Strategies to differentiate instruction. (secondary). Jacque Melin. melinj@gvsu.edu. www.formativedifferentiated.com. Thank you for being present today. You can expect:. conversations. learning. I’m counting on you to…. Pythagorean theorem converse. .. practice. Tell whether the given triangle is a right triangle.. 1. 2. . More theorems. .. Theorem practice. Tell whether the segments with the given side lengths can form a triangle. If so, classify the triangle as . 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. 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. of a Higher-order Markov Chain. By Zhang Shixiao. Supervisors: Prof. Chi-Kwong Li and Dr. Jor-Ting Chan. Content. 1. Introduction: Background. 2. . Higher-order Markov . Chain. 3. Conclusion. 1. Introduction: . 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..