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Math Help - triangle

  1. #1
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    Post triangle

    triangle PQR is a right triangle in the Cartesain plane with right angle at R.P = (-2,1), Q = (4,3) and R lies vertically above P. the midpoint of PQ is M.

    WHITCH ONE OF THE FOLLOWING IS/ARE TRUE?

    A. R=(-2,3)

    B. M=(1,2)

    C. D (R,M) = (( sqeare root of 5 ) units)
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  2. #2
    Senior Member
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    (-2,1), (4,3)
    it should be letter B
    since
    the formula of midpoint is

    x_{mid}=\frac{x_1+x_2}{2}
    so
    x_{mid}=\frac{-2+4}{2}

    x_{mid} = 1

    y_{mid}=\frac{y_1+y_2}{2}
    so
    y_{mid}=\frac{3+1}{2}

    y_{mid} = 2

    the answer is M = (1,2)
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  3. #3
    Grand Panjandrum
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    Quote Originally Posted by Alexander View Post
    triangle PQR is a right triangle in the Cartesain plane with right angle at R.P = (-2,1), Q = (4,3) and R lies vertically above P. the midpoint of PQ is M.

    WHITCH ONE OF THE FOLLOWING IS/ARE TRUE?

    A. R=(-2,3)

    B. M=(1,2)

    C. D (R,M) = (( sqeare root of 5 ) units)
    R is verticaly above P so their x co-ord are the same, and as the angle at R
    is right the y co-ord of R is the same as Q, so R is (-2,3)

    The mid point of PQ is ((-2+4)/2, (1+3)/2)=(1,2)

    The distance from R to M is sqrt((-2-1)^2+(3-2)^2) = sqrt(10).

    RonL
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