Calculate, correct to one decimal place, the length of the line joining points X(3, 5) and Y(5, 1).
-
A.
4.0 -
B.
4.2 -
C.
4.5 -
D.
5.0
Correct Answer: Option C
Explanation
(XY = sqrt{(x_{1} – x_{2})^{2} + (y_{1} – y_{2})^{2}}) is the distance between a point (X(x_{1}, y_{1})) and (Y(x_{2}, y_{2})).
(XY = sqrt{(3 – 5)^{2} + (5 – 1)^{2}} = sqrt{20})
= (2sqrt{5} = 4. 467 approxeq 4.5)