PPT-8-1: The Pythagorean Theorem and its Converse

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. brPage 1br Conjugarea verbului converse Present I converse You converse HeSheIt converses We converse You converse They converse Past I conversed You conversed HeSheIt conversed We conversed c = 5. Chapter 9. Right Triangles and Trigonometry. Section 9.3. Converse of the Pythagorean Theorem. USE THE . CONVERSE OF THE . P. YTHAGOREAN . T. HEOREM. USE SIDE LENGTHS TO CLASSIFY TRIANGLES . Facilitator: David Brown . May 3, 2014. Workshop Goals. Setting the stage: . Standards for Mathematical Practices. Hands-on exploration of Pythagorean triples incorporating NYS Secondary CCLS-M. Discuss geometry and algebra connections. 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…. 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 . Drawings 1 - 2. #1. Perpendicular to a line. #2. Skew lines and transversal. Drawings 3 - 4. #3. Parallel lines and transversal. #4. Marking congruent angles. Drawings 5 - 6. #5. Acute angles. #6. Obtuse angles. 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:. “With . more than 800 million pairs sold to date, it's estimated that more than 60 percent of Americans own or have owned a pair of Chuck Taylor All Stars during their . lifetime.” . Presentation by Patrick Hendrix. Divergence. In calculus, the divergence is used to measure the magnitude of a vector field’s source or sink at a given point. Thus it represents the volume density of the outward flux of a vector field . . • claim to esoteric knowledge. • self-representation as pious/arrogant. • . textual source of cult authority. • . privacy and exclusiveness sources of . suspicion. • suspicion of subversive belief/activity. 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. Module . 2/4. Squares and Square Roots. Class - VIII. Prepared by – . Bashuki. . Nath. , AECS, . Anupuram. Finding the Square of a . Number. Module . 2/4. Squares and Square Roots. Class - VIII. Prepared by – .