Question
Download Solution PDFThe distance between the points (2, 3) and (4, 1) is.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFFormula Used:
To find the distance between two points (x1, y1) and (x2, y2) in a Cartesian coordinate system, you can use the distance formula:
Distance (d) = \( \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)
Explanation:
In this case, the points are (2, 3) and (4, 1), so you can use these coordinates in the distance formula:
⇒ Distance (d) = \(\sqrt{(4 - 2)^2 + (1 - 3)^2}\)
⇒ Distance (d) = \(\sqrt{(2)^2 + (-2)^2}\)
⇒ Distance (d) = √(4 + 4)
⇒ Distance (d) = √8
⇒ Distance (d) = 2√2
So, the distance between the points (2, 3) and (4, 1) is 2√2 units.
Last updated on Jan 29, 2025
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