ILoveComputers1
  • ILoveComputers1
a=x, b=x, c=50 solve for x (hint: this is an isosceles triangle)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
is 50 supposed to be one of the angles?
ILoveComputers1
  • ILoveComputers1
They give me a triangle, and it's showing the pythagorean theorem. So it is finding the sides not angles.
anonymous
  • anonymous
|dw:1439787827242:dw| Like this?

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ILoveComputers1
  • ILoveComputers1
Yes just like that. |dw:1439787916367:dw|
anonymous
  • anonymous
well then just us Pythagrian theorem
anonymous
  • anonymous
x^2 + x^2 = 50^2 solve for x
nincompoop
  • nincompoop
start by the definition of isosceles that two sides of the triangle have equal length. if that is our unknown, then the third side would be 50
nincompoop
  • nincompoop
|dw:1439788089504:dw|
ILoveComputers1
  • ILoveComputers1
So then I would get 2x^2= 50^2 x^2=25^2 x=25
nincompoop
  • nincompoop
|dw:1439788184602:dw|
nincompoop
  • nincompoop
|dw:1439788232741:dw|
nincompoop
  • nincompoop
we utilize a few algebraic acrobat using a few formulas like the pythagorean theorem but we must recognize that there is now a fourth side and perhaps we can use simpler formula to solve for x
nincompoop
  • nincompoop
one of these suggestion is to bisect the side with length 50 instead of x and it may be easier to work with, because of known facts that come with it |dw:1439788720560:dw|
nincompoop
  • nincompoop
Let me redraw |dw:1439788819981:dw|
nincompoop
  • nincompoop
we are following the constraints or clue that our triangle is an isosceles so we will use isosceles right triangle :D
nincompoop
  • nincompoop
\(\large \sqrt{a^2 + b^2 } =c \rightarrow \sqrt{x^2 + x^2} = c = \sqrt{2x^2} \) \(\large \sqrt{2x^2}= 50 \) the rest of the solutions are easy to work with

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