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

1 answer

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.