Find the length of a segment that has endpoints H(2, –3) and J(12, 7). (1 point) Responses
20
10√2
4√2
40
To find the length of a segment with endpoints (x1, y1) and (x2, y2), you can use the formula for distance between two points:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Using this formula:
d = √((12 - 2)^2 + (7 - (-3))^2)
= √((10)^2 + (7 + 3)^2)
= √(100 + 100)
= √200
= 10√2
Therefore, the length of the segment is 10√2.
To find the length of a segment with endpoints, you can use the distance formula. The distance formula is derived from the Pythagorean theorem and is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates of the endpoints are H(2, -3) and J(12, 7). Let's substitute these values into the distance formula:
d = √((12 - 2)^2 + (7 - (-3))^2)
= √((10)^2 + (7 + 3)^2)
= √(100 + 10^2)
= √(100 + 100)
= √(200)
= √(100 * 2)
= 10√2
Therefore, the length of the segment with endpoints H(2, -3) and J(12, 7) is 10√2. So the correct answer is 10√2.
To find the length of a segment with endpoints H(2, -3) and J(12, 7), we can use the distance formula.
The formula to find the distance between two points (x1, y1) and (x2, y2) is:
√[(x2 - x1)^2 + (y2 - y1)^2]
Using this formula, we can calculate the length of the segment:
√[(12 - 2)^2 + (7 - (-3))^2]
= √[(10)^2 + (10)^2]
= √[100 + 100]
= √200
= 10√2
Therefore, the length of the segment HJ is 10√2.