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

- chestercat

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- anonymous

you make them linear

- anonymous

@e.mccormick please help!

- anonymous

what do you mean?

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## More answers

- anonymous

could you help e on this? please

- anonymous

- anonymous

@iambatman please help

- anonymous

@phi can you please help me on this?

- Vocaloid

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

- anonymous

i figured out that the triangle is not a right angle

- anonymous

lol your cute

- anonymous

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

- anonymous

@phi please help!

- anonymous

- phi

Here is a plot of the 3 points.

##### 1 Attachment

- phi

Looking at the figure, do any of the angles look close to 90 degrees?
maybe

- anonymous

no

- anonymous

it is not 90Âº

- phi

did you find the slopes ?

- anonymous

yes

- phi

what did you get ?

- anonymous

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

- phi

what is the slope between points R and S ?

- anonymous

1/2

- phi

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)

- phi

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 )

- phi

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)

##### 1 Attachment

- phi

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

- anonymous

which way is easier?

- phi

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)

- anonymous

but it doesn't make a right triangle

- phi

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

- anonymous

oh i stuck on this part

- phi

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.

- anonymous

This is what I have!

- anonymous

##### 1 Attachment

- phi

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

- anonymous

##### 1 Attachment

- anonymous

- anonymous

@phi i really need help!

- anonymous

no

- anonymous

- anonymous

@phi please help!

- anonymous

@annas please help

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