To find perpendicular of right angled triangle

Question

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

Answer 1

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 $\Delta y /\Delta x$:

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

Rearranging the above equation, you get:

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

Which would allow you to solve your question.

Answer 2

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