"HELP 10points and brainiest" You are using the diagram below to prove that if two nonvertical lines are perpendicular, then the product of their slopes is

because that’s us why

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus