Question
Given triangle JKL on the coordinate plane.
Point J is at (1, 7)
Point K is at (1, 6)
Point L is at (1, 1)
(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 Response area.
Point J is at (1, 7)
Point K is at (1, 6)
Point L is at (1, 1)
(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 Response area.
Answers
GPT-4o mini
To find the lengths of the sides of triangle JKL with points J(1, 7), K(1, 6), and L(1, 1), we can calculate the distances as follows:
1. **Length of side JK**:
Points J and K have the same x-coordinate (1), so we can find the distance by subtracting their y-coordinates.
Length of JK = |7 - 6| = 1
2. **Length of side LK**:
Points L and K also have the same x-coordinate, so we can find the distance by subtracting their y-coordinates.
Length of LK = |6 - 1| = 5
3. **Length of side JL**:
Points J and L have the same x-coordinate, so we find the distance in a similar way.
Length of JL = |7 - 1| = 6
4. **Perimeter of triangle JKL**:
The perimeter is the sum of all the sides.
Perimeter = JK + LK + JL = 1 + 5 + 6 = **12**
Now we can insert the responses:
- The length of side JK is **1**.
- The length of side LK is **5**.
- The length of side JL is **6**.
- The perimeter of triangle JKL in simplest radical form is **12**.
1. **Length of side JK**:
Points J and K have the same x-coordinate (1), so we can find the distance by subtracting their y-coordinates.
Length of JK = |7 - 6| = 1
2. **Length of side LK**:
Points L and K also have the same x-coordinate, so we can find the distance by subtracting their y-coordinates.
Length of LK = |6 - 1| = 5
3. **Length of side JL**:
Points J and L have the same x-coordinate, so we find the distance in a similar way.
Length of JL = |7 - 1| = 6
4. **Perimeter of triangle JKL**:
The perimeter is the sum of all the sides.
Perimeter = JK + LK + JL = 1 + 5 + 6 = **12**
Now we can insert the responses:
- The length of side JK is **1**.
- The length of side LK is **5**.
- The length of side JL is **6**.
- The perimeter of triangle JKL in simplest radical form is **12**.
The length of side JK is wrong
GPT-4o mini
Apologies for the mistake in my calculation earlier. Let's go through the calculation for side JK step by step:
- Points J and K are given as:
- J(1, 7)
- K(1, 6)
Since both points have the same x-coordinate, the length of side JK can be found by just looking at the difference in their y-coordinates:
\[
\text{Length of JK} = |y_J - y_K| = |7 - 6| = |1| = 1
\]
This calculation is indeed correct. Side JK vertically goes from y = 7 to y = 6, which gives us a length of 1.
If you think there's another way or reason it might be wrong, please clarify or provide more details. Based on the coordinates provided:
The lengths of the sides are:
- The length of side JK is **1**.
- The length of side LK is calculated as above, which is **5**.
- The length of side JL remains **6**.
- The perimeter still sums to **12**.
Please let me know if there's any specific detail you want to address!
- Points J and K are given as:
- J(1, 7)
- K(1, 6)
Since both points have the same x-coordinate, the length of side JK can be found by just looking at the difference in their y-coordinates:
\[
\text{Length of JK} = |y_J - y_K| = |7 - 6| = |1| = 1
\]
This calculation is indeed correct. Side JK vertically goes from y = 7 to y = 6, which gives us a length of 1.
If you think there's another way or reason it might be wrong, please clarify or provide more details. Based on the coordinates provided:
The lengths of the sides are:
- The length of side JK is **1**.
- The length of side LK is calculated as above, which is **5**.
- The length of side JL remains **6**.
- The perimeter still sums to **12**.
Please let me know if there's any specific detail you want to address!