Question

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

Answer 1

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