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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