Question

Like segment PQ has points at P(7, 2) and Q(1, -1). a. What is the exact lengthb. What is the approximate length?Easy explanation

Answer 1

The distance between two points (x₁, y₁) and (x₂, y₂) can be calculated using the formula:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

From the problem, we identify:

`\begin{gathered} (x_1,y_1)=(7,2) \\ \\ (x_2,y_2)=(1,-1) \end{gathered}`

a.

Using the formula, we calculate the exact length of the segment PQ (which is equal to the distance between the points P and Q):

`\begin{gathered} d=√((1-7)^2+(-1-2)^2)=√((-6)^2+(-3)^2)=√(36+9)=√(45) \\ \\ \therefore d=3√(5) \end{gathered}`

b.

From the previous answer, the approximate length is:

`\therefore d\approx6.7082`