Find the length of $R P$ , if $P$ divides the line segment $R S = 12$ cm in the ratio of $3 : 5$ .

4.5

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7.5

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5.5

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None of these

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Solution

The correct option is A $4.5$ cm
Let $R P = 3 x$ and $P S = 5 x$
$R S = 12$
$R P + P S = 12$
$3 x + 5 x = 12$
$8 x = 12$
$x = 1.5$
$R P = 3 x = 3 \times 1.5 = 4.5 c m$

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