Question

Use the Distance Formula to find the length of CD if C(26, -2) and D(29, 4). Round to the nearest tenth, ifnecessaryThe length of CD isunits.

Answer 1

The given points are C(26,-2) and D(29,4).

We use the distance formula to find CD.-

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

Where,

`\begin{gathered} x_1=26 \\ y_1=-2 \\ x_2=29 \\ y_2=4 \end{gathered}`

Replacing all these coordinates, we have

`\begin{gathered} d_(CD)=\sqrt[]{(4-(-2)^2+(29-26)^2} \\ d_(CD)=\sqrt[]{(4+2)^2+(3)^2}=\sqrt[]{(6)^2+9}=\sqrt[]{36+9} \\ d_(CD)=\sqrt[]{45}\approx6.7 \end{gathered}`

Therefore, the distance of CD is 6.7, approximately.