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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
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

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Use the distance formula to find the sides of the triangle. After you have the sides by using the distance formula, you can use Pythagorean Theorem to tell if it is a right triangle.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dont i have to find the slope between the points

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The distance formula \(d = \sqrt{(x_2x_1)^2+(y_2y_1)^2} \)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so i plug in 3,4 and 5,5

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0No, you do not need to find the slope because Pythagorean Theorem will tell you if it is right or not

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0From R(3,4) to S(5,5) = \( d = \sqrt{(x_2x_1)^2+(y_2y_1)^2} \) \( d = \sqrt{(53)^2+(54)^2} \) = The side from R to S

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so the slope between r&s is (3,4)(5,5) which is 1/2 the we have to find the slope between s&t which is 4 then we have to find the slope between r & t which is 1 simplified.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Once you have all your sides, \( a^2+b^2=c^ \) plugin for ab and c and they should equal each other if they don't then it is not a right triangle

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You do not need to find the slope between the points.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i know its not a right triangle but the problem you did above isnt making sense to me.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[ d = \sqrt{(x_2x_1)^2+(y_2y_1)^2} \] \[d = \sqrt{(53)^2+(54)^2} \] R (3, 4), S (5, 5), and T (6, 1) From point R to S = a distance From point R to T = b distance From pont S to T = c distance  Lets find a, which is the distance between R and S \[ d = \sqrt{(x_2x_1)^2+(y_2y_1)^2} \] \[d = \sqrt{(53)^2+(54)^2} =\sqrt{5} \] So a = \( \sqrt{5} \)  Now lets find b, which is the distance between R and T R (3, 4) and T (6, 1) \[d = \sqrt{(63)^2+(14)^2} =3\sqrt{2}\]  Now lets find c, which is the distance between S (5, 5), and T (6, 1) \[d = \sqrt{(65)^2+(15)^2} =\sqrt{17}\]  Now we have all our sides we can use \( a^2+b^=c^2 \) to tell if it is right and to prove our assumption \( \sqrt{5}^2+3\sqrt{2}^2 = \sqrt{17} ^2\) \( 23= 17\) < not true Since it is not true and 23 > 17 it is not a right triangle.
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