Question

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

you make them linear

Answer 2

@e.mccormick please help!

Answer 3

what do you mean?

Answer 4

could you help e on this? please

Answer 5

@phi

Answer 6

@iambatman please help

Answer 7

@phi can you please help me on this?

Answer 8

find the length of each side of the triangle, either by graphing or using the distance formula

then determine whether the triangle satisfies the Pythagorean theorem

Answer 9

i figured out that the triangle is not a right angle

Answer 10

lol your cute

Answer 11

i know you've done this question before with someone else and i understood what you wrote!

Answer 12

@phi please help!

Answer 13

@phi

Answer 14

Here is a plot of the 3 points.

Answer 15

Looking at the figure, do any of the angles look close to 90 degrees?
maybe <SRT (the angle at point R) ... though it does not look quite right.

I would find the slope from R to S (change in y divided by change in x)
and the slope from R to T

if the slopes are "negative reciprocals", then you have a right angle.

Answer 16

no

Answer 17

it is not 90º

Answer 18

did you find the slopes ?

Answer 19

yes

Answer 20

what did you get ?

Answer 21

R (3,4) and S (5,5)
S (5,5) and T (6,1)
R (3,4) and T (6,1)

Answer 22

what is the slope between points R and S ?

Answer 23

1/2

Answer 24

yes, and the slope from R to T is -1
so the lines do not form a right angle (if we got -2 slope from R to T it would be a right angle)

Answer 25

to find a point that forms a right triangle, we could adjust point S so the slope from R to S is +1 (the "negative reciprocal" of -1 is - 1/(-1) = -1/-1 = 1 )

Answer 26

for example, if we move S from (5,5) to (4,5) the slope from R to S' will be
1 (if you work it out)

Answer 27

or you could move point S from (5,5) to (5,6)

Answer 28

which way is easier?

Answer 29

it's the same work either way. But they ask the question

If it is not a right triangle, what changes can be made to make it a right triangle?

so you should pick one way and show it makes a right angle (by showing the slopes are negative reciprocals)

Answer 30

but it doesn't make a right triangle

Answer 31

yes, but
what changes can be made to make it a right triangle?

Answer 32

oh i stuck on this part

Answer 33

you are done with the first part. The slope from R to S is 1/2
the slope from R to T is -1
1/2 is not the negative reciprocal, so the lines do not form a 90 degree angle.

Answer 34

This is what I have!

Answer 35

ok, that looks good. be sure to also find the slope from R to T

Answer 36

@phi

Answer 37

@phi i really need help!

Answer 38

no

Answer 39

@phi

Answer 40

@phi please help!

Answer 41

@annas please help