The coordinates of point R are (-3,2) and the coordinates of piont T are (4,1). What is the length of RT?
1 Answer
justaguide | College Teacher | (Level 2) Distinguished Educator
The distance between two points (x1, y1) and (x2, y2) is given by D = `sqrt((x2 - x1)^2 + (y2 - y1)^2)`
The point R has the coordinates (-3, 2) and T has the coordinates (4, 1).
Substituting these values in the formula for distance, the length of RT is `sqrt((4 + 3)^2 + (2 - 1)^2)`
=> `sqrt(7^2 + 1^2)`
=> `sqrt (49 + 1)`
=> `sqrt 50`
=> `5*sqrt 2`
The length of RT is `5*sqrt 2`