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Math Help - triangle conclusion

  1. #1
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    triangle conclusion

    the triangle KLM, KL = 14 and LM = 32. Which is a true conclusion?

    KM - KL > 2(32)
    KL - KM > 32
    LM + KL < 32
    KM - LM < 14

    i think this is the answer?
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  2. #2
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    The triangle inequality says that if a,b,c are sides of a triangle then:
    a+b>c
    Hence,
    a>b-c

    "Thus the difference of two sides is always less than the third side"

    Use that to answer thy question
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  3. #3
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    Hello, sanee66!

    In the triangle KLM: . KL = 14 and LM = 32.
    Which is a true conclusion?

    (a)\;KM - KL \;>\; 2(32)
    (b)\;KL - KM \;> \;32
    (c)\;LM + KL \;< \;32
    (d)\;KM - LM \;< \;14\;\;\;\Leftarrow I think this is the answer .Yes!
    Code:
                L
                *
               *   *
           14 *       *   32
             *           *
            *               *
           *                   *
        K *   *   *   *   *   *   * M
    Because of the Triangle Inequality: . KM \:<\:46


    Let's check each of the given statements . . .

    (a)\;KM - KL \:>\:2(32)
    This says: . KM \:> \:KL + 64 \:=\:14 + 64\quad\Rightarrow\quad KM \:>\:78 . . . not true

    (b)\;KL - KM \:>\:32
    This says: . KM \:<\:KL - 32 \:=\:14 - 32\quad\Rightarrow\quad KM < -8 . . . not true

    (c)\;LM + KL\:<\:32
    This says: . 32 + 14 \:<\:32\quad\Rightarrow\quad 46 \:<\:32 . . . not true

    (d)\;KM - LM \:<\:14
    This says: . KM \:<\:LM + 14 \:=\:32 + 14\quad\Rightarrow\quad KM \:<\:46 . . . True!

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