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: $d=\sqrt{50}, 5\sqrt{2}, \,\text{or about}\;7.1$

Step-by-step explanation:

      We can use the distance formula to solve.

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

$\displaystyle d=\sqrt{(4--3)^2 +(1-2)^2}$

$\displaystyle d=\sqrt{(4+3)^2 +(1-2)^2}$

$\displaystyle d=\sqrt{(7)^2 +(-1)^2}$

$\displaystyle d=\sqrt{49+1}$

$\displaystyle d=\sqrt{50}$

d ≈ 7.1