Question:
What is the distance between the points $A(3, 8)$ and $B(-2, -7)$?
What is the distance between the points $A(3, 8)$ and $B(-2, -7)$?
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Always use the Euclidean distance formula $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ for point-to-point distance in coordinate geometry.
Updated On: Aug 7, 2025
- $5\sqrt{2}$
- 5
- $5\sqrt{10}$
- $10\sqrt{2}$
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The Correct Option is C
Solution and Explanation
Use distance formula:
\[
\text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
= \sqrt{(-2 - 3)^2 + (-7 - 8)^2}
= \sqrt{(-5)^2 + (-15)^2}
= \sqrt{25 + 225} = \sqrt{250}
= \boxed{5\sqrt{10}}
\]
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