I need help!!!

- anonymous

I need help!!!

- katieb

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- anonymous

##### 1 Attachment

- anonymous

okay well the theorem is \[z^2=x^2+y^2\] and you know everything has to be an integer (whole number)

- anonymous

you can just try different values. For instance for the first one i might try z=51 and x=24. so 51^2=24^2+y^2. Solving i get y=45. So this works

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## More answers

- anonymous

can you try 19?

- anonymous

@cherio12 can you try #19 plz

- anonymous

you just have to play with the numbers. I first tried \[z^2=25^2+20^\] but i got z= 32.0156..so this didn't work
next i tried
\[25^2=20^2+y^2\]
y=15 (this is an integer) so it checks out

- anonymous

does this make sense?

- anonymous

thats the answer in the book so i should be able to learn off your 2 answers

- anonymous

wait so on 18# i got 2601=576+y2 then do i get y by itself? @cherio12

- anonymous

yes. you should go 2601-576=y^2. then take the squareroot of both sides to just get y

- anonymous

ok how do you know were to put the numbers on the equation?

- anonymous

what do you mean?

- anonymous

wait oh i see you said move them around and it has to be a whole number

- anonymous

yup, its always (leg)^2+(leg)^2=(hypotenuse)^2

- anonymous

thanks man! helped alot

- anonymous

its commonly written as x^2+y^2=z^2

- anonymous

no problem =D

- anonymous

k

- anonymous

wait so on # 20 i got 91.82592222ect

- anonymous

okay so that means you picked the wrong combo of hypotenuse and legs. try another combo (by the way the hypotenuse will always be the largest of the 3 numbers)

- anonymous

so set it up as x2= 96 + 28?

- anonymous

i would try
\[96^2=x^2+28^2\]

- anonymous

do get x by its self?

- anonymous

yes

- anonymous

|dw:1359577137858:dw|

- anonymous

but i still will get that 91.etc right?

- anonymous

i was just showing you the triangle to help show what i meant by x, y and z

- anonymous

i know im saying when i get x by its self and take 9216 and square it i get that 91.00202 number

- anonymous

o you mean for the 96, 28 problem?

- anonymous

yes

- anonymous

\[96^2=x^2+28^2\]
\[9216=x^2+784\]
\[9216-784=x^2\]
\[x=\sqrt{8432}\]
x=91.8259
so this way didn't work.

- anonymous

i would then try \[z^2=96^2+28^2\]

- anonymous

but you would still get 91.8259 right?

- anonymous

no i got 100

- anonymous

you add 96^2 and 28^2 in this example instead of subtracting them (like we tried before)

- anonymous

ohhh

- anonymous

now i see thakns agian lol

- anonymous

hey can you help @cherio12 with # 23

- anonymous

sure

- anonymous

okay so i first tried z^2=72^2+75^2
But i got z=103.966 so that's not right
then i tried 75^2=x^2+72^2

- anonymous

ok i did the first but didnt try that one what did you get?

- anonymous

21

- anonymous

can you show how you did that?

- anonymous

75^2=x^2+72^2
solve for x

- anonymous

ok thanks i got 21

- anonymous

no problem

- anonymous

yes, your two legs are 6 and 3

- anonymous

so would it be 6(2)=3(2)+x2

- anonymous

- anonymous

by(2) do you mean you are squaring it?

- anonymous

no 6 to the power 2 like 6*6

- anonymous

that means squaring, but yes that is correct

- anonymous

wait that doesnt work

- anonymous

i tried both ways and got not a whole number

- anonymous

I don't believe you are supossed to get an integer for this problem

- anonymous

so would 5.19 work?

- anonymous

- anonymous

i got 7.937

- anonymous

6^2+3^2=x^2

- anonymous

ya that was my second way

- anonymous

so would you set up # 25 and # 26 the same way?

##### 1 Attachment

- anonymous

yes for 25, but for 26 you will use a ratio

- anonymous

i gotta go eat..be back later

- anonymous

ok when you get back can you explain ratio?

- anonymous

@cherio12 you back?

- anonymous

yes

- anonymous

okay well for starters find the other leg on the 5,3 triangle

- anonymous

wait on the # 25 its just 11 and x so is it 121 then sqare root answer is 11?

- anonymous

no, there are two 11 sides

- anonymous

oh i see cuase of that line thingy

- anonymous

so the answer is 0

- anonymous

no for 25, it is 11^1+11^2=x^2

- anonymous

so its 15.49

- anonymous

yes

- anonymous

does that make sense why?

- anonymous

yes i just didnt try that way and remember there not whole numbers

- anonymous

so how do you do #26 is it 2 problems in 1

- anonymous

- anonymous

find the other leg in the 5,3 triangle first

- anonymous

5.83

- anonymous

wait no its 4

- anonymous

yes 4

- anonymous

now do the other triangel?

- anonymous

now we can use like triangle ratios 4/5=7/x

- anonymous

so 4 sqare + 5 square = 7sqare?

- anonymous

no, no square

- anonymous

just ratio, just division

- anonymous

so 0.8=7

- anonymous

4/5=7/x
.8=7/x
.8x=7

- anonymous

oh ok wow being sick for one day of notes can rweally heart you

- anonymous

haha, no problem

- anonymous

wait # 28 its 2x and 2x+4 and the length of the hypot is 4x-4

- anonymous

- anonymous

yes, just apply the Pythagorean theorem

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