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Given triangle JKL on the coordinate plane.

(4 points)
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The length of side JK is Response area

The length of side LK is Response area.

The length of side JL is Response area.

The perimeter of triangle JKL in simplest radical form

1 answer

To find the lengths of sides JK, LK, and JL of triangle JKL on the coordinate plane, you will need the coordinates of points J, K, and L. Let’s assume those coordinates are:

  • J (x₁, y₁)
  • K (x₂, y₂)
  • L (x₃, y₃)

You can calculate the lengths of the sides using the distance formula:

  1. Length of side JK: \[ JK = \sqrt{(x₂ - x₁)² + (y₂ - y₁)²} \]

  2. Length of side LK: \[ LK = \sqrt{(x₃ - x₂)² + (y₃ - y₂)²} \]

  3. Length of side JL: \[ JL = \sqrt{(x₃ - x₁)² + (y₃ - y₁)²} \]

  4. Perimeter of triangle JKL: \[ \text{Perimeter} = JK + LK + JL \]

To provide exact values for JK, LK, JL, and the perimeter, I need the coordinates of points J, K, and L. Once you have those, you'll be able to substitute them into the formulas above to calculate the lengths of the sides and the perimeter. If you provide me with the coordinates, I can help you with the calculations!