# Why if $\frac{opp}{adj} =x$, then $x \times hyp =$ The length of a line perpendicular to the hypotenuse with the same height.

$x \times hyp =$ The length of a line perpendicular to the hypotenuse with the same height.

So if you have a triangle and you divide the opposite by the adjacent, the ratio you get can be used to multiply the hypotenuse to get the length of a line perpendicular to the hypotenuse with the same height.

What exactly is happening why does this work?

See the file attached for a more visual representation.

Math Gnome

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Erdos

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