Question

Finding the Distance 1. What is the approximate length of RS with endpoints R(2,3) and S(4, -1)? A 1.4 units B 4.0 units C 4.5 units D 6 units 2. What is the approximate length of AB , with endpoints A(-3, 2) and B(1,-4)? A 6.1 units B 7.2 units C 8.5 units 0 10.0 units

Answer 1

The approximate length of RS is 4.5 units

Here, we are to find the approximate distance between the two given points.

To do this, we are going to use the formual for the distance between two points.

Mathematically;

`\begin{gathered} D\text{ = }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}_{} \\ \\ (x_1,y_1)\text{ = (2,3)} \\ \\ (x_2,y_2)\text{ = (4 , -1)} \\ \\ \text{Substituting these values into the equation, we have} \\ \\ D\text{ = }\sqrt[]{(4-2)^2\text{ + (-1-3)}} \\ \\ D\text{ = }\sqrt[]{(2)^2+(-4)^2} \\ \\ \\ D\text{ = }\sqrt[]{(4\text{ + 16)}} \\ \\ \\ D\text{ = }\sqrt[]{20} \\ \\ \\ D\text{ = 4.47 which is 4.5 units to the nearest tenth} \end{gathered}`