Question

27.) Find the sum of the length of line segments EF and CD

Answer 1

5√10

Explanation:

The distance between two points A(
`x_1,y_1`) and B(
`x_2,y_2`) on the coordinate plane is given by:

`|AB|=√((x_2-x_1)^2+(y_2-y_1)^2 )`

From the image attached the coordinates of the points are E(-1, -1), F(8, -4), C(-7, -4) and D(-1, 2).

Hence the lengths of the line segment EF and CD are:

`|EF|=√((8-(-1))^2+(-4-(-1))^2) =√(90)=3√(10) \\\\CD=√((-1-(-7))^2+(-2-(-4))^2)=√(40) =2√(10) \\\\Therefore:\\\\|EF|+|CD|=3√(10) +2√(10) =5√(10)`