Question

find the distance CD where c (-3 a, a) D(a , -2 a )​

Answer 1

$\textbf{Given:}$

$\textsf{Points are C(-3a,a) and D(a,-2a)}$

$\textbf{To find:}$

$\textsf{The distance CD}$

$\textbf{Solution:}$

$\underline{\textsf{Formula used:}}$

$\mathsf{The\;distance\;between\;(x_1,y_1)\;and\;(x_2,y_2)\;is}$

$\boxed{\mathsf{d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}}}$

$\textsf{Distance between C and D is}$

$\mathsf{\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}}$

$\mathsf{=\sqrt{(-3a-a)^2+(a+2a)^2}}$

$\mathsf{=\sqrt{(-4a)^2+(3a)^2}}$

$\mathsf{=\sqrt{16a^2+9a^2}}$

$\mathsf{=\sqrt{25a^2}}$

$\mathsf{=\sqrt{25}\,\sqrt{a^2}}$

$\mathsf{=5a\;units}$

$\textbf{Answer:}$

$\textsf{The distance CD is 5a units}$

$\textbf{Find more:}$

Find out the distance between the points

(p,q+r) and (q,p+r).​

https://brainly.in/question/11712056