What is the distance between (-3,2) and (2,-2)?

1 Answer
Alan P.
Dec 21, 2015

sqrt(41)

Explanation:

Based on the Pythagorean Theorem the distance between two points (x_1,y_1) and (x_2,y_2) is given by the formula:
color(white)("XXX")d=sqrt((x_2-x_1)^2+(y_2-y_1)^2)

For the given example:
color(white)("XXX")d=sqrt((2-(-3))^2+((-2)-2)^2)

color(white)("XXX")=sqrt(5^2+(-4)^2)

color(white)("XXX")=sqrt(25+16)

color(white)("XXX")=sqrt(41)

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