A straight line passes through the point P(1,2) and Q (5,8). Calculate the length PQ
Question 1 Report
A straight line passes through the point P(1,2) and Q
(5,8). Calculate the length PQ
(5,8). Calculate the length PQ
Answer Details
We can use the distance formula to find the length PQ, which is the distance between points P and Q on the line.
The distance formula is:
distance = \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)
where (x1, y1) = P and (x2, y2) = Q.
Plugging in the values:
distance = \(\sqrt{(5-1)^2 + (8-2)^2}\)
= \(\sqrt{16 + 36}\)
= \(\sqrt{52}\)
= \(2\sqrt{13}\)
Therefore, the length PQ is \(2\sqrt{13}\).
Answer: \(2\sqrt{13}\).
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