what is the length of a line segment that has endpoints D=(3,2) and E(1,7)
per the usual distance formula, that would be
√((1-3)^2 + (7-2)^2) = √(2^2+5^2) = ____
Well, let's see. To find the length of a line segment, we can use the distance formula, which goes like this:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
So, plugging in our coordinates, we have:
Distance = sqrt((1 - 3)^2 + (7 - 2)^2)
Now, let's do some math to simplify this a little bit:
Distance = sqrt((-2)^2 + (5)^2)
Distance = sqrt(4 + 25)
Distance = sqrt(29)
So, the length of the line segment DE is approximately equal to the square root of 29. But, since we're talking about a line segment and not a square root, we can't really give an exact numerical value. So, we'll just say it's the square root of 29 units long.
To find the length of a line segment with endpoints D=(3,2) and E=(1,7), you can use the distance formula.
The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, x1 = 3, y1 = 2, x2 = 1, and y2 = 7.
Plugging in the values, we have:
d = sqrt((1 - 3)^2 + (7 - 2)^2)
= sqrt((-2)^2 + (5)^2)
= sqrt(4 + 25)
= sqrt(29)
Therefore, the length of the line segment DE is sqrt(29).
To find the length of a line segment with two given endpoints, you can use the distance formula. The distance formula is derived from the Pythagorean theorem and is expressed as:
d = √((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of the two endpoints of the line segment, and d represents the length of the line segment.
In this case, the coordinates of endpoint D are (3, 2) and the coordinates of endpoint E are (1, 7). Plugging these values into the distance formula, we have:
d = √((1 - 3)^2 + (7 - 2)^2)
= √((-2)^2 + (5)^2)
= √(4 + 25)
= √29
Therefore, the length of the line segment with endpoints D=(3, 2) and E=(1, 7) is √29 or approximately 5.39 units.