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If given slope of hypotenuse and length of base, how can we find length of perpendicular ?

Sophie Clad
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2 Answers2

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In simple Cartesian terms, "slope" is how much the $y$ coordinate changes with respect to the $x$ coordinate. For linear functions, it is defined as $\Delta y /\Delta x$:

Slope

$slope = \Delta y /\Delta x = \frac{y_2-y_1}{x_2-x_1}$.

Rearranging the above equation, you get:

$$\Delta y = slope \cdot \Delta x$$

Which would allow you to solve your question.

uriyabsc
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the slope is basically the ratio of height and base, right? So it's slope=perpendicular/base and rearrange that

frank
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  • why is slope ratio of height and base – Sophie Clad May 08 '23 at 06:19
  • that's sort of its definition-for instance the slope of a line in xy coordinate is the change in y over the change in x. In case you don't understand you might wanna google pictures of a slope and see some examples. – frank May 08 '23 at 06:25
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