find the length of a segment that has endpoints h(2, -3) and J(12, 7)
To find the length of a segment with these endpoints, we can use the distance formula. The distance formula is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of the endpoints of the segment.
In this case, (x1, y1) = (2, -3) and (x2, y2) = (12, 7).
Plugging in these values into the formula, we get:
d = √((12 - 2)^2 + (7 - (-3))^2)
= √(10^2 + 10^2)
= √(100 + 100)
= √200
= 10√2
Therefore, the length of the segment between H(2, -3) and J(12, 7) is 10√2 (approximately 14.14).