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Nick2019
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cherio12
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okay well the theorem is \[z^2=x^2+y^2\] and you know everything has to be an integer (whole number)
cherio12
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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
Nick2019
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can you try 19?
Nick2019
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@cherio12 can you try #19 plz
cherio12
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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
cherio12
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does this make sense?
Nick2019
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thats the answer in the book so i should be able to learn off your 2 answers
Nick2019
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wait so on 18# i got 2601=576+y2 then do i get y by itself? @cherio12
cherio12
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yes. you should go 2601-576=y^2. then take the squareroot of both sides to just get y
Nick2019
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ok how do you know were to put the numbers on the equation?
cherio12
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what do you mean?
Nick2019
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wait oh i see you said move them around and it has to be a whole number
cherio12
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yup, its always (leg)^2+(leg)^2=(hypotenuse)^2
Nick2019
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thanks man! helped alot
cherio12
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its commonly written as x^2+y^2=z^2
cherio12
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no problem =D
Nick2019
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k
Nick2019
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wait so on # 20 i got 91.82592222ect
cherio12
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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)
Nick2019
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so set it up as x2= 96 + 28?
cherio12
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i would try
\[96^2=x^2+28^2\]
Nick2019
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do get x by its self?
cherio12
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yes
cherio12
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|dw:1359577137858:dw|
Nick2019
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but i still will get that 91.etc right?
cherio12
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i was just showing you the triangle to help show what i meant by x, y and z
Nick2019
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i know im saying when i get x by its self and take 9216 and square it i get that 91.00202 number
cherio12
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o you mean for the 96, 28 problem?
Nick2019
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yes
cherio12
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\[96^2=x^2+28^2\]
\[9216=x^2+784\]
\[9216-784=x^2\]
\[x=\sqrt{8432}\]
x=91.8259
so this way didn't work.
cherio12
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i would then try \[z^2=96^2+28^2\]
Nick2019
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but you would still get 91.8259 right?
cherio12
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no i got 100
cherio12
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you add 96^2 and 28^2 in this example instead of subtracting them (like we tried before)
Nick2019
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ohhh
Nick2019
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now i see thakns agian lol
Nick2019
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hey can you help @cherio12 with # 23
cherio12
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sure
cherio12
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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
Nick2019
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ok i did the first but didnt try that one what did you get?
cherio12
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21
Nick2019
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can you show how you did that?
cherio12
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75^2=x^2+72^2
solve for x
Nick2019
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ok thanks i got 21
cherio12
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no problem
Nick2019
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hey @cherio12 for #24 you you do the same?
cherio12
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yes, your two legs are 6 and 3
Nick2019
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so would it be 6(2)=3(2)+x2
Nick2019
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@cherio12
cherio12
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by(2) do you mean you are squaring it?
Nick2019
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no 6 to the power 2 like 6*6
cherio12
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that means squaring, but yes that is correct
Nick2019
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wait that doesnt work
Nick2019
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i tried both ways and got not a whole number
cherio12
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I don't believe you are supossed to get an integer for this problem
Nick2019
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so would 5.19 work?
Nick2019
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@cherio12
cherio12
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i got 7.937
cherio12
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6^2+3^2=x^2
Nick2019
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ya that was my second way
Nick2019
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so would you set up # 25 and # 26 the same way?
cherio12
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yes for 25, but for 26 you will use a ratio
cherio12
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i gotta go eat..be back later
Nick2019
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ok when you get back can you explain ratio?
Nick2019
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@cherio12 you back?
cherio12
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yes
cherio12
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okay well for starters find the other leg on the 5,3 triangle
Nick2019
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wait on the # 25 its just 11 and x so is it 121 then sqare root answer is 11?
cherio12
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no, there are two 11 sides
Nick2019
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oh i see cuase of that line thingy
Nick2019
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so the answer is 0
cherio12
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no for 25, it is 11^1+11^2=x^2
Nick2019
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so its 15.49
cherio12
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yes
cherio12
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does that make sense why?
Nick2019
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yes i just didnt try that way and remember there not whole numbers
Nick2019
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so how do you do #26 is it 2 problems in 1
Nick2019
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@cherio12
cherio12
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find the other leg in the 5,3 triangle first
Nick2019
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5.83
Nick2019
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wait no its 4
cherio12
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yes 4
Nick2019
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now do the other triangel?
cherio12
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now we can use like triangle ratios 4/5=7/x
Nick2019
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so 4 sqare + 5 square = 7sqare?
cherio12
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no, no square
cherio12
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just ratio, just division
Nick2019
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so 0.8=7
cherio12
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4/5=7/x
.8=7/x
.8x=7
Nick2019
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oh ok wow being sick for one day of notes can rweally heart you
cherio12
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haha, no problem
Nick2019
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wait # 28 its 2x and 2x+4 and the length of the hypot is 4x-4
Nick2019
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@cherio12
cherio12
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yes, just apply the Pythagorean theorem