A straight line passes through the point P(1,2) and Q
(5,8). Calculate the length PQ
A
\(4\sqrt{11}\)
B
\(4\sqrt{10}\)
C
\(2\sqrt{17}\)
D
\(2\sqrt{13}\)
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
|PQ| = \(\sqrt{(x_2 - X- 1) + (y_2 - y_1)^2}\)
= \(\sqrt{(5 - 1)^2 + (8 - 2)^2}\)
= \(\sqrt{4^2 + 6^2}\)
= \(\sqrt{16 + 36}\)
= \(\sqrt{52}\)
= 2\(\sqrt{13}\)
Source: Myschool Past Questions Archive (Record #46119)