# Divide in ratio

Line segment AB 12 cm long divide in a ratio of 5: 3. How long are the individual parts?

Correct result:

a =  7.5 cm
b =  4.5 cm

#### Solution:

$x=12 \ \text{cm} \ \\ a=x \cdot \ \dfrac{ 5 }{ 5+3 }=12 \cdot \ \dfrac{ 5 }{ 5+3 }=\dfrac{ 15 }{ 2 }=7.5 \ \text{cm}$
$b=x-a=12-7.5=\dfrac{ 9 }{ 2 }=4.5 \ \text{cm}$

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