The document discusses the Pythagorean theorem and distance formula. The Pythagorean theorem states that for any right triangle, the sum of the squares of the two sides equals the square of the hypotenuse. The distance formula allows you to calculate the distance between two points in the xy-plane by taking the square root of the sum of the squared differences between the x-coordinates and y-coordinates. An example using points (2,4) and (7,13) demonstrates applying the distance formula to get a distance of 10.3 units between the two points.
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Pythagorean theorem and distance formula
1. Pythagorean Theorem and Distance Formula By: Tristin Patton
2. Pythagorean Theorem The Pythagorean Theorem states that in any right triangle , the lengths of the three sides are related as follows: a 2 + b 2 = c 2 where c is the measure of the right triangle's hypotenuse (or longest side) and a and b are the measures of its two legs .
3. 4 3 ?? 3 2 +4 2= ??? 9+16=25 The square root of 25 is 5. =5
4. The Distance Formula The formula that allows you to find the distance between two points in the xy - plane. For example , the distance between points ( x 2 , y 2) and ( x 1, y 1) is shown below. (X2-X1) 2 + (Y2-Y1) 2
5. (2,4) (7,13) (7-2) 2 +(13-4) 2 5 2 +9 2 25+81=106 The square root of 106 is 10.3. The distance between (2,4) and (7,13) is 10.3 2 .
