Question

Point R is at (3, 2) and Point S is (-3, -1). Determine the length RS.

Answer 1

Answer: RS = 3
`√(10)`

Explanation:

To calculate the length RS , all we need do is to find the distance between R and S. The formula for finding the distance between two points is given as :

D =
`\sqrt{(x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2)}`

`x_(1)` = 3

`x_(2)` = -3

`y_(1)` = 2

`y_(2)` = -1

Substituting the values we have :

RS =
`\sqrt{(-3-3)^(2)+(-1-2)^(2)}`

RS =
`\sqrt{9^(2)+3^(2) }`

RS =
`√(81+9)`

RS =
`√(90)`

this can also be written as

RS =
`√(9)` X

RS = 3
`√(10)`