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Elementary Graphing Exercise 1 - Distance Formula

Verify that the distance D id given by the formula is as stated below by applying the Pythagorean Theorem to the triangle formed by the points (x1, y1) and (x2, y2) as shown below.

STATEMENT JUSTIFICATION
(x1, y1) and (x2, y2) are two given points. The lengths of the legs of the right triangle show above are (x2-x1) and (y2-y1). The hypotenuse has length D.

 

Given

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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