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Math Help - true statement

  1. #1
    Junior Member
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    true statement

    R, S, and T are points with RT=2RS. Which of the following could be true?

    i. R, S, and T are the vertices of a right triangle
    ii. R, S, and T are three of the vertices of a square.
    iii. R, S, and T all lie on the circumference of a circle.


    And I thank you all in advance
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Judi
    R, S, and T are points with RT=2RS. Which of the following could be true?

    i. R, S, and T are the vertices of a right triangle
    ii. R, S, and T are three of the vertices of a square.
    iii. R, S, and T all lie on the circumference of a circle.


    And I thank you all in advance
    i. If R, S and T were the vertices of a 30, 60, 90 triangle with proper
    arrangement of the labels RT=2RS would be true.

    ii. If this were the case RS would have to be a side of the square, and
    RT the diagonal, but then 2RS^2 != RT^2, a contradiction

    iii. A circle can be drawn through any three points in the plane.

    RonL
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