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Pythagorean theorem and distance formula

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Pythagorean theorem and distance formula

  1. 1. Pythagorean theorem and distance formula<br />By Daviontae gilmore<br />
  2. 2. Pythagorean theorem explanation<br />the Pythagorean Theorem is a theorem having to do with right triangles. The two sides of the right triangle that are connected to the right angle are called its legs, and the third side which is always the longest is called the hypotenuse. The theorem says that : <br />In a right triangle, the length of one leg squared plus the length of the other leg squared equals the length of the hypotenuse squared<br />Since the Pythagorean Theorem deals with the relationship among the lengths of the sides of a right triangle, it is altogether fitting and proper, and a fortuitous coincidence, that the variables in the algebraic statement of the Theorem stand for the lengths of the sides of a right triangle.<br />Right triangle ( triangle in which one angle is 90 degrees)<br />
  3. 3. Pythagorean theorem example<br />
  4. 4. Distance Formula explanation<br />Distance Formula: Given the two points (x1, y1) and (x2, y2), the distance between these points is given by the formula:square root of x2-x1 squared +y2-y1 squared <br />So really u need to give the two points and the distance between to the formulaso basically,1. find the change in x2. find the change in y3. square the change in x and the change in y(x^2) (y^2)4. add up your change in x^2 +change in y^25. find the square root of your answer<br />
  5. 5. Example for Distance Formula <br />A^2+ B^2= C^2<br />6^2+ x^2= 13^2<br />36+x+ 169<br />133=x^2<br />X=11<br />

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