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Annie96

  • one year ago

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

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  1. Annie96
    • one year ago
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  2. anonymous
    • one year ago
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    @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

  3. anonymous
    • one year ago
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    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:

  4. anonymous
    • one year ago
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    |dw:1436769257855:dw|

  5. anonymous
    • one year ago
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    that will give you the X value

  6. Annie96
    • one year ago
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    okay

  7. anonymous
    • one year ago
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    Did you get the answer?

  8. Annie96
    • one year ago
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    4sqrt(2)

  9. anonymous
    • one year ago
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    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.

  10. anonymous
    • one year ago
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    So we can derive the equation |dw:1436769635919:dw|

  11. anonymous
    • one year ago
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    Now solve, and the answer is your Y value

  12. Annie96
    • one year ago
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    y=4sqrt6

  13. anonymous
    • one year ago
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    yup, now you can pick the answer that matches!

  14. Annie96
    • one year ago
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    So B is the answer

  15. anonymous
    • one year ago
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    x= 4rt2 y= 4rt6

  16. anonymous
    • one year ago
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    Yeah it is!

  17. Annie96
    • one year ago
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    thank you.

  18. anonymous
    • one year ago
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    yw

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