## 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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2022-01-08T20:37:26+00:00
2022-01-08T20:37:26+00:00 2 Answers
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## Answers ( )

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 unitsPerimeter = LM + MN + NL = 5+ √(10) + 3 = 8 + √(10) units.Answer:8 + 10 Units

Step-by-step explanation: