What is the length of the line segment whose endpoints are 1-4 and9,2
length = √( (9-1)^2 + (2+4)^2 )
= √(81+36)= √117 or appr 10.8
To find the length of a line segment, you can use the distance formula. The distance formula allows you to calculate the distance between two points in a coordinate plane, which represents the length of the line segment connecting those two points.
The distance formula is derived from the Pythagorean theorem, and it states that the distance between two points (x₁, y₁) and (x₂, y₂) is given by the formula:
d = √((x₂ - x₁)² + (y₂ - y₁)²)
In this case, the endpoints of the line segment are (1, -4) and (9, 2). Plugging these values into the distance formula, we get:
d = √((9 - 1)² + (2 - (-4))²)
= √(8² + 6²)
= √(64 + 36)
= √100
= 10
Therefore, the length of the line segment connecting the points (1, -4) and (9, 2) is 10 units.
To find the length of a line segment, we will use the distance formula.
The distance formula is √((x2 - x1)² + (y2 - y1)²), where (x1, y1) and (x2, y2) are the coordinates of the endpoints of the line segment.
Given the endpoints (1, -4) and (9, 2), we can substitute these values into the distance formula:
√((9 - 1)² + (2 - (-4))²)
Simplifying further:
√(8² + 6²)
√(64 + 36)
√100
The length of the line segment is 10 units.