find length of a segment that has endpoint h(2,-3) and J(12,7)
To find the length of a segment with endpoints (x1, y1) and (x2, y2), we can use the distance formula:
Distance = √[(x2 - x1)^2 + (y2 - y1)^2]
In this case, the endpoints are h(2, -3) and J(12, 7). Plugging these values into the formula:
Distance = √[(12 - 2)^2 + (7 - (-3))^2]
= √[(10^2) + (10^2)]
= √[100 + 100]
= √200
≈ 14.142
Therefore, the length of the segment with endpoints h(2, -3) and J(12, 7) is approximately 14.142.
To find the length of a segment with two endpoints, we can use the distance formula. The distance formula is derived from the Pythagorean theorem.
The formula to find the distance between two points (x1, y1) and (x2, y2) in a two-dimensional plane is:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Using the given endpoints h(2, -3) and J(12, 7), we can substitute the values into the formula:
d = sqrt((12 - 2)^2 + (7 - (-3))^2)
Simplifying further:
d = sqrt(10^2 + 10^2)
d = sqrt(100 + 100)
d = sqrt(200)
To calculate the approximate value of sqrt(200), we can use a calculator:
d ≈ 14.142
Therefore, the length of the segment between point h(2, -3) and J(12, 7) is approximately 14.142 units.