Line segment

Line segment AB is 8 cm long. Divide it in a ratio of 2: 3.

Correct answer:

a =  3.2 cm
b =  4.8 cm

Step-by-step explanation:

$$\begin{gathered} x=8\text{ cm } \\ a={\displaystyle \frac{2}{2+3}}\cdot x={\displaystyle \frac{2}{2+3}}\cdot 8={\displaystyle \frac{16}{5}}={\displaystyle \frac{16}{5}}\text{ cm}=3.2\text{ cm} \end{gathered}$$

$b=x-a=8-3.2={\displaystyle \frac{24}{5}}={\displaystyle \frac{24}{5}}\text{ cm}=4.8\text{ cm}$

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