Question
Find the distance between the points \( (0, 0) \) and \( (-5, 12) \).
Ask by Schmidt Reed. in India
Feb 04,2025
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Answer
The distance between the points is 13 units.
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To find the distance between the points \( (0, 0) \) and \( (-5, 12) \), we can use the distance formula, which is given by: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \] Here, \( (x_1, y_1) = (0, 0) \) and \( (x_2, y_2) = (-5, 12) \). Plugging in these values: \[ d = \sqrt{((-5) - 0)^2 + (12 - 0)^2} \] \[ = \sqrt{(-5)^2 + (12)^2} \] \[ = \sqrt{25 + 144} \] \[ = \sqrt{169} \] \[ = 13 \] So, the distance between the points \( (0, 0) \) and \( (-5, 12) \) is \( 13 \).