Question
Find the length of AM
AM=(x2-x1)^2+(y2-y1)^2
AM=(x2-x1)^2+(y2-y1)^2
Answers
GPT-4o mini
The formula you've provided, \( AM = (x_2 - x_1)^2 + (y_2 - y_1)^2 \), resembles the formula for the squared distance between two points in a two-dimensional Cartesian coordinate system.
However, if you're looking to find the length of the line segment \( AM \) itself, you'll want to take the square root of the expression to get the actual distance:
\[
AM = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]
So, the length of the segment \( AM \) is given by:
\[
AM = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]
This expression will give you the Euclidean distance between the points \( A(x_1, y_1) \) and \( M(x_2, y_2) \).
However, if you're looking to find the length of the line segment \( AM \) itself, you'll want to take the square root of the expression to get the actual distance:
\[
AM = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]
So, the length of the segment \( AM \) is given by:
\[
AM = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]
This expression will give you the Euclidean distance between the points \( A(x_1, y_1) \) and \( M(x_2, y_2) \).