Question

Given triangle JKL on the coordinate plane. (4 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. 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

Answer 1

To calculate the lengths of the sides of triangle JKL on the coordinate plane, you'll need the coordinates of points J, K, and L. The lengths of the sides can be determined using the distance formula, which is:

\[ \text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

Let's denote the coordinates of the points as follows:

• \( J(x_1, y_1) \)
• \( K(x_2, y_2) \)
• \( L(x_3, y_3) \)

Then, you can calculate the lengths of the sides:

1. Length of side JK: \[ JK = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

2. Length of side LK: \[ LK = \sqrt{(x_3 - x_2)^2 + (y_3 - y_2)^2} \]

3. Length of side JL: \[ JL = \sqrt{(x_3 - x_1)^2 + (y_3 - y_1)^2} \]

Once you have these lengths, you can find the perimeter of triangle JKL by summing the lengths of all sides: \[ \text{Perimeter} = JK + LK + JL \]

Please provide the coordinates of points J, K, and L to perform detailed calculations and find the specific lengths and perimeter in simplest radical form.