To determine the length of the sides of triangle JKL on the coordinate plane, we would need the coordinates of the points J, K, and L. However, since you haven't provided the coordinates, I'll explain how you would calculate the side lengths and the perimeter if you had them.
To calculate the length of each side, we use the distance formula. If we have two points in the coordinate plane, \(A(x_1, y_1)\) and \(B(x_2, y_2)\), the distance \(d\) between them is given by:
\[d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}.\]
Therefore, we would calculate each side as follows:
1. Length of side \(JK\) would be found by putting coordinates of \(J\) and \(K\) into the distance formula.
2. Length of side \(LK\) would be found by putting coordinates of \(L\) and \(K\) into the distance formula.
3. Length of side \(JL\) would be found by putting coordinates of \(J\) and \(L\) into the distance formula.
To find the perimeter of triangle JKL, we would sum the lengths of the three sides. If any side lengths are already in simplest radical form (like \(\sqrt{a}\) for some integer \(a\)), we just sum them up together with any other side lengths.
The perimeter would be:
\[ \text{Perimeter} = JK + LK + JL. \]
From the answer choices, "√61, √25 +√36, 11 +√11, 11 + √61, 11 + √25 + √36," the correct answer would depend on the actual lengths of the sides. The choice "5,6,11" seems problematic because it lists three distinct numbers instead of a single length for each side, and seems more like individual side lengths rather than one expression for a length.
Since the specific coordinates are not provided, we cannot determine which answer choice is correct. If you can provide the coordinates for points J, K, and L, I can certainly help to calculate the lengths and perimeter.
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
1 answer
1 answer