Transcription of The Pythagorean Theorem 9.2 Geometry - AGMath.com
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The Pythagorean Theorem 9.2 Geometry - AGMath.com
The Pythagorean Theorem Geometry By now, you know the Pythagorean Theorem and how to use it for basic problems. The Converse of the Pythagorean Theorem states that: If the lengths of the sides of a triangle satisfy the Pythagorean Theorm, then the triangle is a right triangle. Examples: Determine which of the following is a right triangle? 8. 21 65. 16 15. 20. 17. 63. 29. Finding all Pythagorean triples: Here is a simple method for finding every set of pythagoren triples. Given any numbers a and b where a>b: a 2+. b2 Try it! 2ab Why does it always work? a 2 - b2. Practice: Using the following values for a and b, identify five Pythagorean triples: (1, 2) (1,3) (2,3) (3,4) (2,5). Challenge: Determine the distance between y the opposite corners of the following cube. x 5 in The Pythagorean Theorem Geometry Practice: Solve for x in each. Leave answers in simplified radical form.
Geometry Practice: Solve for x in each. Leave answers in simplified radical form. The Pythagorean Theorem 9.2 6m 4m x 15m 20m 17m x 8m x 4m Practice: Find the shortest distance between each pair of points listed for the diagram below.
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