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).
Geometry You can use the Pythagorean Theorem to find the distance be-tween two points on the coordinate plane. Practice: Below is a quadrilateral drawn on the coordinate plane.
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