anonymous
  • anonymous
Advanced Algebra, triangle
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Use the formulas a = x^2 – y^2, b = 2xy, c = x^2 + y^2 to answer this question. One leg of a right triangle has length 11 and all sides are whole numbers. Find the lengths of the other two sides. The other leg= And the hypotenuse=
anonymous
  • anonymous
Well since this is a right angle triangle, we can already use the properties of Pythagoras' theorem. But before, we start on doing anything, we have to let one side equal to 11. I recommend not the hypotenuse to be 11
anonymous
  • anonymous
it has been a long time since i have even seen Pythagoras' theorem

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anonymous
  • anonymous
Can you still remember at all? You can quickly search it up via the net ^^
anonymous
  • anonymous
give me a second to go look it up,(i c\just came back from the bathroom)
anonymous
  • anonymous
a^2+b^2=c^2
anonymous
  • anonymous
Right
anonymous
  • anonymous
So how do you think, you should approach this question?
anonymous
  • anonymous
11^2+b^2=c^2
anonymous
  • anonymous
yeap Just solve for that, and make on of the pro numerals the subject
anonymous
  • anonymous
Just remember, that we are working in 'x' and 'y' so you have to mold your equations around those variables
anonymous
  • anonymous
hmmm it is 9:27AM over here and my mind is still waking up :/
anonymous
  • anonymous
no worries it is 11:29 pm over here
anonymous
  • anonymous
is there a formula u can give me or an example?
anonymous
  • anonymous
Alright no problem
anonymous
  • anonymous
|dw:1433511154354:dw|
anonymous
  • anonymous
But we have to let either 'a' or 'b' equal 11, since that is out clue here ~
anonymous
  • anonymous
that writing is a tiny bit eligible...
anonymous
  • anonymous
Sorry its freezing cold at the moment, and its on the computer so its quite hard to draw with a mouse ><
anonymous
  • anonymous
The hypotenuse is: C = x^2 + y^2 a = x^2 - y^2 b = 2xy So we are given one side is equivalent to 11, so which side you will to make it 11?
anonymous
  • anonymous
b, it seems the best choice
anonymous
  • anonymous
Okay, so just solve from there and let see what you get
anonymous
  • anonymous
well i am brain dead or i just cant remember how to do this..........
anonymous
  • anonymous
it is sad because i use to be very good at math
anonymous
  • anonymous
Well... its time to redeem yourself in this question ^^ Everyone has their moments in mathematics :)
anonymous
  • anonymous
ill just close this question and go on to something else. :/
anonymous
  • anonymous
b = 2xy b = 11 so 11 = 2xy Thus -> x = 11 / 2y Try substituting that into a now, and let see what you get

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