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Mathematics 12 Online
OpenStudy (anonymous):

I don't understand this! I went over my lesson twice and still... :( What is the slope of the hypotenuses of the triangles in simplest form? (Its a fraction...) _________ The link...http://static.k12.com/calms_media/media/1503500_1504000/1503534/1/41a3d0d45821a1d5a935cf8434ac536e79e72cc1/MS_IMC-140523-130903.jpg

OpenStudy (igreen):

Both of them?

OpenStudy (anonymous):

?? There is only one question.

OpenStudy (igreen):

I meant you have to find the hypotenuse of both Triangles?

OpenStudy (igreen):

For the smaller one, it gives you the points (3, 1) and (6, 2). Remember: To find the slope between two points use the slope formula, \(m = \dfrac{y_2-y_1}{x_2-x_1}\).

OpenStudy (anonymous):

It just askes "What is the slope of the hypotenuses of the triangles in simplest form?"

OpenStudy (igreen):

Okay, so in that case I'm guessing they want both of them..

OpenStudy (anonymous):

So, yea both of them... but im also not sure which goes on top of the fraction... :/

OpenStudy (igreen):

You always put the coordinates in order of the smaller x-value to the greater value, when dealing with positive slopes.

OpenStudy (igreen):

Oops I messed that up.. xD

OpenStudy (anonymous):

So., would the smaller one also go on top?

OpenStudy (igreen):

(3, 1) and (6, 2) ^ ^ = \(y_1\) ^ ^ = \(y_2\) | | = \(x_1\) = \(x_2\)

OpenStudy (igreen):

Smaller what?

OpenStudy (anonymous):

oh...

OpenStudy (anonymous):

ty

OpenStudy (igreen):

Can you solve it now?

OpenStudy (igreen):

Plug those values into this equation: \(m = \dfrac{y_2-y_1}{x_2-x_1}\).

OpenStudy (igreen):

And for the second triangle: (6, 2) and (18, 6) ^ ^ = \(y_1\) ^ ^ = \(y_2\) | | = \(x_1\) = \(x_2\)

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