Answer: RS = 5a
Distance formula: \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\).
\[RS=\sqrt{(a+3a)^2+(-2a-a)^2}\]
\[=\sqrt{16a^2+9a^2}=\sqrt{25a^2}=5a\]
(taking \(a>0\); in general \(5|a|\)).
Answer: RS = 5a
Distance formula: \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\).
\[RS=\sqrt{(a+3a)^2+(-2a-a)^2}\]
\[=\sqrt{16a^2+9a^2}=\sqrt{25a^2}=5a\]
(taking \(a>0\); in general \(5|a|\)).
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