Chord of triangle

If the whole chord of the triangle is 14.4 cm long, how do you calculate the shorter and longer part?

Correct answer:

a =  4.8 cm
b =  9.6 cm

Step-by-step explanation:

$$\begin{gathered} t=14.4\text{ cm } \\ a:b=1:2 \\ a+b=t \\ a={\displaystyle \frac{1}{1+2}}\cdot t={\displaystyle \frac{1}{1+2}}\cdot 14.4={\displaystyle \frac{24}{5}}={\displaystyle \frac{24}{5}}\text{ cm}=4.8\text{ cm} \end{gathered}$$

$b={\displaystyle \frac{2}{1+2}}\cdot t={\displaystyle \frac{2}{1+2}}\cdot 14.4={\displaystyle \frac{48}{5}}={\displaystyle \frac{48}{5}}\text{ cm}=9.6\text{ cm}$

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