Question

The coordinates of point R are (−3, 2), and the coordinates of point T are (4, 1). What is the length of RT?

Answer 1

Answer:
`d=√(50), 5√(2), \,\text{or about}\;7.1`

Explanation:

We can use the distance formula to solve.

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

`\displaystyle d=√((4--3)^2 +(1-2)^2)`

`\displaystyle d=√((4+3)^2 +(1-2)^2)`

`\displaystyle d=√((7)^2 +(-1)^2)`

`\displaystyle d=√(49+1)`

`\displaystyle d=√(50)`

d ≈ 7.1