Carcass wrote:
In the coordinate plane, what is the distance between points (3, 5) and (7, 10)?
A. 3
B. 4
C. \(2\sqrt{5}\)
D. \(\sqrt{37}\)
E. \(\sqrt{41}\)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITIONGRE - Math Book Distance between \((a,b)\) and \((c,d)\) \(= \sqrt{(d-b)^2+(c-a)^2}\)So, the distance between \((3, 5)\) and \((7, 10)\) \(= \sqrt{(10-5)^2+(7-3)^2}\)
\(= \sqrt{5^2+4^2}\)
\(= \sqrt{25+16}\)
\(= \sqrt{41}\)
Answer: E