A straight line passes through the point P(1,2) and Q(5,8). Calculate the length PQ
MATHEMATICS
WAEC 2016
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. \(2\sqrt{13}\)
Correct Answer: D. \(2\sqrt{13}\)
Explanation
|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\(\sqrt{13}\)
Post an Explanation Or Report an Error
If you see any wrong question or answer, please leave a comment below and we'll take a look. If you doubt why the selected answer is correct or need additional more details? Please drop a comment or Contact us directly. Your email address will not be published. Required fields are marked *