Pythagorean theorem and distance formula
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The document explains the Pythagorean theorem and distance formula. The Pythagorean theorem states that the sum of the squares of the two sides of a right triangle equals the square of the hypotenuse. The distance formula calculates the distance between two points by taking the difference of their x- and y-coordinates and plugging them into the formula (x2-x1)2+(y2-y1)2. Examples are provided to demonstrate the application of each formula.
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Pythagorean theorem and distance formula
- 1. “Pythagorean Theorem and Distance Formula”By: Marques Bell
- 2. Pythagorean Theorem explanation-What is the Pythagorean Theorem? Is a relation in Euclidean geometry among the three sides of a right triangle-What do the variables stand for? The variables in the algebraic statement of the Theorem stand for the lengths of the sides of a right triangle.-What type of triangle do we use the theorem for?
- 3. Pythagorean Theorem example 6+3=x36+9=x45=x6.7=x
- 4. Distance Formula explanation-What is the Distance Formula? (X2-x1)2+(y2-y1)2-What steps do you follow to use the distance formula? To find the distance between any two points: 1. label the points x1,x2 y1,y2 2. Put them in the distance formula 3. Do the math
- 5. Distance Formula example(10-16)+ (1-4) =92 + 122=81 + 144=255 =15