Annie96
  • Annie96
Find x & y. Select one: a. x=4 & y=4√2 b. x=4√2 & y=4 √6 c. x=4√3 & y=8√3 d. x=4 & y=4√3
Geometry
schrodinger
  • schrodinger
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Annie96
  • Annie96
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anonymous
  • anonymous
@Annie96 well we know that the segment x falls on one of the legs to a 45-45-90 triangle. We know that the values representing those two sides are x,x and xrt2
anonymous
  • anonymous
We know that the side length 8 falls on Xrt2 so we can set those two values equal to each other and solve. Solve this:

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anonymous
  • anonymous
|dw:1436769257855:dw|
anonymous
  • anonymous
that will give you the X value
Annie96
  • Annie96
okay
anonymous
  • anonymous
Did you get the answer?
Annie96
  • Annie96
4sqrt(2)
anonymous
  • anonymous
yeah. Now we need to solve for Y. We know that segment Y falls on a 30-60-90 triangle. We can deduce the y=xrt 3. And we can plug in the X value in that we have already found.
anonymous
  • anonymous
So we can derive the equation |dw:1436769635919:dw|
anonymous
  • anonymous
Now solve, and the answer is your Y value
Annie96
  • Annie96
y=4sqrt6
anonymous
  • anonymous
yup, now you can pick the answer that matches!
Annie96
  • Annie96
So B is the answer
anonymous
  • anonymous
x= 4rt2 y= 4rt6
anonymous
  • anonymous
Yeah it is!
Annie96
  • Annie96
thank you.
anonymous
  • anonymous
yw

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