Pythagorean theorem and distance formula
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The document explains 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. An example problem is worked out with sides of length 2, 5, and the calculated hypotenuse of 5.3. The distance formula is also explained as taking the difference of the x-coordinates squared and adding it to the difference of the y-coordinates squared, with the square root of the total used to find the distance between two points, like (1,3) and (4,7) which have a distance of 5.
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Pythagorean theorem and distance formula
- 1. Pythagorean Theorem and Distance Formula Clemon taylor
- 2. Pythagorean Theorem explanation The Pythagorean Theorem basically in a more simple form it’s just three sides of a right triangle ( right-angled triangle ) The variable and the meanings are A=leg b=base c=hypotenuse The triangle being used is a right triangle. Or a triangle with a little square in the bottom left side. Directly across from the hypotenuse.
- 3. : Pythagorean Theorem example slide A=2 B=5 2 2+ 5 2 =c 2 4+25=c 2 29=c 2 (square root sign)29=c 2 C=5.3
- 4. Distance formula explanation. Distance = √(x2-x1) 2 +(y2-y1) 2 Get the line your measuring Find the coordinates of the line’s endpoint Take the x-coordinates of both of the points and subtracts them Then you square the amount Then you get the y- coordinates of both points and subtract them Then you square the amounts Then you have to add both of the squares Then you find the square root of the final answer Square that amount . Then you have found the length of line. (in units)
- 5. (1,3) and your other point is (4,7). D=5