Given triangle JKL on the coordinate plane
JLK
The length of side JK is
The length of side LK is
The length of side JL is
The perimeter of triangle JKL in simplest radical form
Answer choices
5,6,11,√61,√25 +√36, 11 +√11, 11 + √61, 11 + √25 + √36
The picture is a triangle. Y axis is on the top and x axis right corner j is on the y, L is below the y and K is on the x axis
Unfortunately, without the exact coordinates of points J, L, and K, it's not possible to provide the lengths of the sides of triangle JKL. The length of a side of a triangle on a coordinate plane can be calculated using the distance formula if you have the coordinates of the endpoints of that side.
The distance formula is derived from the Pythagorean theorem and is stated as follows:
If you have two points (x1, y1) and (x2, y2), the distance, d, between these points is given by:
d = √((x2 - x1)² + (y2 - y1)²)
Assuming you can get the coordinates of points J, L, and K, you would use this formula three times to find the lengths of sides JK, LK, and JL. Then you would add these lengths together to find the perimeter.
Since I don't have the specific coordinates for points J, L, and K, let's consider a simple layout based on the description you provided where J is on the y-axis, K is on the x-axis, and L is below J but still on the y-axis. The coordinates of the points might be as follows:
J (0, j), where j is a positive value representing how far away J is from the origin.
K (k, 0), where k is a positive value representing how far away K is from the origin.
L (0, l), where l is a negative value representing that L is below the origin.
Now, the lengths of the sides would be:
JK: √((0 - k)² + (j - 0)²) = √(k² + j²)
LK: √((0 - k)² + (l - 0)²) = √(k² + l²)
JL: |j - l|
However, without knowing the values of j, k, and l, it is not possible to determine the lengths or perimeter.
If you provide the coordinates of J, L, and K, I can calculate the lengths of the sides JK, LK, and JL for you, as well as the perimeter of triangle JKL.