Transcription of The Pythagorean Theorem 9.2 Geometry - …
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The Pythagorean Theorem 9.2 Geometry - …
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. 20m 6m x 15m 17m 8m x 4m x 4m Practice: Find the shortest distance between each pair of points listed for the diagram below.
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,
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