Pythagorean theorem and distance formula
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The document discusses the Pythagorean theorem and distance formula. The Pythagorean theorem states that for any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. The distance formula is used to calculate the distance between two points in a coordinate plane and involves subtracting the x- and y-coordinates of the two points and taking the square root of the sum of the squared differences. An example of each is provided to demonstrate their use.
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Pythagorean theorem and distance formula
- 1. Pythagorean Theorem and Distance Formula” Davon Vinson
- 2. What is the Pythagorean Theorem? Pythagorean Theorem is a relation in Euclidean geometry among the three sides of a right triangle The variables stands for the unknown Hypotenuse We use a right triangle in Pythagorean Theorem
- 3. : Pythagorean Theorem example slide a2 + b2 = c2 5 2 + 12 2 = c2 169 = c2 C=13
- 4. Distance Formula explanation slide Distance Formula is Distance is a numerical description of how far apart objects are. In physics or everyday discussion, distance may refer to a physical length, or an estimation based on other criteria The steps you take for distance formula is you have to subtract x2-x1 and y2-y1, then square root both answers and add them together. Then finally square root the answer.
- 5. : Distance Formula example slide (6,5) (9,8) 9-6=3 2 8-5=3 2 3 2 +3 2 = Square of 18=4.24