Triangle side calculation

The triangle has a circumference of 35 cm. One side is four times longer than the other and, at the same time, 1 cm longer than the third. Determine the sides of the triangle.

Final Answer:

a =  16 cm
b =  4 cm
c =  15 cm

Step-by-step explanation:

$$\begin{gathered} a+b+c=35 \\ a=4b \\ a=1+c \\ a+b+(a-1)=35 \\ a+a/4+(a-1)=35 \\ 9a=144 \\ a=\frac{144}{9}=16 \\ a=16=16\text{cm} \end{gathered}$$

$b=a/4=16/4=4\text{cm}$

$c=a-1=16-1=15\text{cm}$

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