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Falling_In_Katt

  • one year ago

<RST is an equilateral triangle; TX and RS. If TX = 6 then RX =

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  1. mathstudent55
    • one year ago
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    You mean triangle RST is equilateral?

  2. Falling_In_Katt
    • one year ago
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    yes

  3. mathstudent55
    • one year ago
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    Where is point X? Is there a figure?

  4. Falling_In_Katt
    • one year ago
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  5. Falling_In_Katt
    • one year ago
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    there

  6. mathstudent55
    • one year ago
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    In the problem, you wrote "TX and RS." but you did not complete the sentence. What are we supposed to know about TX and RS?

  7. Falling_In_Katt
    • one year ago
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    they are perpendicular

  8. mathstudent55
    • one year ago
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    Ok.

  9. mathstudent55
    • one year ago
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    We are looking for a. |dw:1435246962181:dw|

  10. mathstudent55
    • one year ago
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    Have you learned about the ratios of the length of the sides of 30-60-90 triangles?

  11. Falling_In_Katt
    • one year ago
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    no

  12. mathstudent55
    • one year ago
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    An equilateral triangle is also equiangular, so all angles measure 60 degrees. |dw:1435247132947:dw|

  13. mathstudent55
    • one year ago
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    Because of symmetry, the top angles are 30 degrees each |dw:1435247199089:dw|

  14. mathstudent55
    • one year ago
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    Triangle RTX is a 30-60-90 triangle. The ratio of the lengths of the sides of a 30-60-90 triangle is: \(1~:~ \sqrt 3~:~ 2\)

  15. mathstudent55
    • one year ago
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    The ratio of the lengths of the legs is \(1 ~:~ \sqrt 3\) The long leg is \(\sqrt 3\) times longer than the short leg.

  16. Falling_In_Katt
    • one year ago
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    My brain is not understanding this.

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