Question

SOMEONE PLEASE HELP...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.

Answer 1

@SolomonZelman

Answer 2

Did you graph the triangle?

Answer 3

how do i do that?

Answer 4

I would maybe use a distance formula to find the sides, if you can't graph and say that it is because of what the graph looks like, that it is a right \(\large\color{black}{ \color{blue}{ \triangle }}\) or not a right \(\large\color{black}{ \color{blue}{ \triangle }}\).

Answer 5

\(\large\color{black}{ D=\sqrt{(y_1-y_2)^2+(x_1-x_2)^2}}\) (D is distance)

Answer 6

im sorry i just havent done this since august.. and i have to do these 8 practice questions. but im not good at teaching myself. so it really sucks to be homeschooled.

Answer 7

do you understand the distance formula?

Answer 8

which one is that?..

Answer 9

the one I posted above, \(\large\color{black}{ D=}\) etc.,

Answer 10

well if i said yes i would be lying lol :(

Answer 11

\(\large\color{black}{ D=\sqrt{(y_1-y_2)^2+(x_1-x_2)^2} }\) is the distance between the points, \(\large\color{black}{ (x_1,y_1) }\) and \(\large\color{black}{ (x_2,y_2) }\)

Answer 12

okay

Answer 13

For example,
\(\large\color{black}{ D=\sqrt{(\color{blue}{4}-\color{magenta}{5})^2+(\color{red}{3}-\color{green}{5})^2} }\) is the distance between the points, \(\large\color{black}{ R~~ (\color{red}{3}, \color{blue}{4}) }\) and \(\large\color{black}{ S~~ (\color{green}{5}, \color{magenta}{5}) }\) .

Answer 14

Do you see how I am plugging them in?

Answer 15

those are the numbers from my question?

Answer 16

yes they are.

Answer 17

okay yeah i get that

Answer 18

okay, tell me the exact value for the distance between R and S. Can you do that?

Answer 19

you will just have to simplify the \(\large\color{black}{ D=\sqrt{(\color{blue}{4}-\color{magenta}{5})^2+(\color{red}{3}-\color{green}{5})^2} }\)

Answer 20

simplify the right side....

Answer 21

i did (4−5)2+(3−5)2 this and my calcultor got me -6?

Answer 22

( 4 − 5 ) 2 + ( 3 − 5 ) 2 and got -6

Answer 23

@SolomonZelman

Answer 24

(-1)^2 + (-2)^2 would be the first result after subtracting inside each of the parenthesis, correct?

Answer 25

then (-1)^2=1 and (-2)^2=4, so the exact distance from S to R is?

Answer 26

oh yeah i totally did that wrong..

Answer 27

would the answer be a coordinate?

Answer 28

no, it would be a value. A distance. (it would be a square rot of some number)

Answer 29

wait so how would you even get a answer out of those?

Answer 30

you should be able to just simplify inside the square root,

reminding, it is
For example, \(\large\color{black}{ D=\sqrt{(\color{blue}{4}-\color{magenta}{5})^2+(\color{red}{3}-\color{green}{5})^2} }\) and it is the distance between the 2 points, \(\large\color{black}{ R~~ (\color{red}{3}, \color{blue}{4}) }\) and \(\large\color{black}{ S~~ (\color{green}{5}, \color{magenta}{5}) }\) .

Answer 31

Much easier if you just graph the points.

Answer 32

Start at (0,0). To graph (3,4) go 3 units to the right and 4 units up. Make a dot there.

Answer 33

is there site i could use to graph stuff?

Answer 34

To graph (5,5) go 5 units to the right and 5 units up.

Answer 35

To graph (6,1) go 6 units to the right and 1 unit up.

Answer 36

ik how to graph stuff. but i dont have graph paper. so is there something online i could use?