On a coordinate plane, triangle L M N is shown. Point L is at (2, 4), point M is at (negative 2, 1), and point N is at (negative 1, 4). What

Question

On a coordinate plane, triangle L M N is shown. Point L is at (2, 4), point M is at (negative 2, 1), and point N is at (negative 1, 4). What is the perimeter of △LMN?
8 units 9 units 6 + StartRoot 10 EndRoot units 8 + StartRoot 10 EndRoot units

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Parker 2 weeks 2022-01-08T20:37:26+00:00 2 Answers 0 views 0

Answers ( )

    0
    2022-01-08T20:38:30+00:00

    Perimeter is  8 + √(10) units.

    Step-by-step explanation:

    First we have to find the distance between the all the 3 points and then using the distances, we can find the sum of it, so that we will get the perimeter of the triangle.

    The points are L(2,4) , M(-2,1) and N(-1,4)

    Distance between the points can be found as,

    √((x₂-x₁)² + (y₂-y₁)²)

    Plugin the values in the given point, we will get LM as,

    LM = √((-2-2)² + (1-4)²)

        = √((-4)² + (-3)²)

       = √(16 + 9) = √(25) = 5 units.

    MN = √((-1-(-2))² + (4-1)²)

         = √((-1+2))² + (4-1)²)

        = √((1))² + (3)²)

        = √(1 + 9) = √(10)

     NL = √((2-(-1))² + (4-4)²)

          = √((3)² + 0²) = √(9) = 3 units

    Perimeter = LM + MN + NL = 5+ √(10) + 3 = 8 + √(10) units.

    0
    2022-01-08T20:39:12+00:00

    Answer:

    8 + 10 Units

    Step-by-step explanation:

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45:7+7-4:2-5:5*4+35:2 =? ( )