Question

The line segment PQ is drawn with P(7,4) and Q(5,6). Determine the length PQ.

Answer 1

The length of the line segment PQ is approximately 2 * sqrt(2) units.

Step-by-step explanation:

To find the length of the line segment PQ, we can use the distance formula which is:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the coordinates P(7,4) and Q(5,6) into the formula, we get:

d = sqrt((5 - 7)^2 + (6 - 4)^2)

d = sqrt((-2)^2 + (2)^2)

d = sqrt(4 + 4)

d = sqrt(8)

d = 2 * sqrt(2)

So, the length of PQ is approximately 2 * sqrt(2) units.