Question

Find CD if C(0,3) and D(4,7)

Answer 1

`C(0,3) \\ x_1=0 \\ y_1=3 \\ \\ D(4,7) \\ x_2=4 \\ y_2=7 \\ \\ \overset{\underline{\ \ \ \ }}{CD} =√((x_2-x_1)^2+(y_2-y_1)^2)=√((4-0)^2+(7-3)^2)= \\ =√(4^2+4^2)=√(16+16)=√(16 * 2)=4√(2) \\ \\ \boxed{\overset{\underline{\ \ \ \ }}{CD} = 4√(2)}`