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anonymous
 one year ago
Determine if triangle RST with coordinates R (3, 4), S (5, 5), and T (6, 1) is a right triangle. Use evidence to support your claim. If it is not a right triangle, what changes can be made to make it a right triangle? Be specific. @phi
anonymous
 one year ago
Determine if triangle RST with coordinates R (3, 4), S (5, 5), and T (6, 1) is a right triangle. Use evidence to support your claim. If it is not a right triangle, what changes can be made to make it a right triangle? Be specific. @phi

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jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.4Find the slope of these segments: RS, ST, RT Use the slope formula \[\Large m = \frac{y_{2}y_{1}}{x_{2}x_{1}}\] If the product of any two slopes is 1, then those two segments are perpendicular, which leads to a right angle. If you have a right angle, you have a right triangle.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Sorry, I just saw this. I'll start on figuring that out right now. :)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.4ok tell me what slopes you get

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.4You mixed up some of the numbers I think. The first calculation and third calculation is what I'm referring to. The second calculation is correct.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0what did I do incorrectly with those?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.4you have the correct slope for ST (middle calculation) so I'm going to do the other ones

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.4R = (x1,y1) = (3,4) x1 = 3 y1 = 4 S = (x2,y2) = (5,5) x2 = 5 y2 = 5  slope of RS \[\Large m = \frac{y_{2}y_{1}}{x_{2}x_{1}}\] \[\Large m = \frac{54}{53}\] \[\Large m = \frac{1}{2}\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.4R = (x1,y1) = (3,4) x1 = 3 y1 = 4 T = (x2,y2) = (6,1) x2 = 6 y2 = 1  slope of RT \[\Large m = \frac{y_{2}y_{1}}{x_{2}x_{1}}\] \[\Large m = \frac{14}{63}\] \[\Large m = \frac{3}{3}\] \[\Large m = 1\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh, I see now. Thanks! What do I do next?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.4Summary of slopes slope of RS = 1/2 = 0.5 slope of ST = 4 slope of RT = 1

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.4do any of those slopes pair up and multiply to 1? if so, which two slopes do this?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.4correct, so you don't have any perpendicular segments that means you don't have any right angles

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0How do I show them how to make it a right angle?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.4You would have to move one of the points to a place where you can get two slopes to multiply to 1

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.4For instance, moving point T from (6,1) to (7,1) will make slope of ST = 2 multiply the new slope of ST (2) with the slope of RS (0.5) to get 2*0.5 = 1. So ST and RS are perpendicular. You have a right angle at point S. This is of course only after you move T to (7,1)
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