Question

Find the length of segment AB. Round to 1 decimal place

Answer 1

Distance Between Two Points

The length of a segment that connects two points can be calculated as the distance between those points (x1,y1) (x2,y2) with the formula:

`d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`

The endpoints of segment AB are A(-5, 2) and B(4, -3). Calculating the distance:

`d=\sqrt[]{(4+5)^2+(-3-2)^2}`

Calculate:

`\begin{gathered} d=\sqrt[]{9^2+(-5)^2} \\ d=\sqrt[]{81+25} \\ d=\sqrt[]{106} \end{gathered}`

Calculating and rounding to one decimal place:

d = 10.3

The length of segment AB is 10.3 units