Triangle sides

The base is 3.5 cm shorter than the shoulder in an isosceles triangle. The perimeter of the triangle is 58 cm. Calculate the lengths of the sides of this triangle.

Final Answer:

a =  20.5 cm
b =  20.5 cm
c =  17 cm

Step-by-step explanation:

$$\begin{gathered} a+b+c=58 \\ a=b \\ c=a-3.5 \\ a+a+(a-3.5)=58 \\ 3a=61.5 \\ a=\frac{61.5}{3}=20.5 \\ a=\frac{41}{2}=20.5=20.5\text{cm} \end{gathered}$$

$b=a=20.5=20.5\text{cm}$

$c=a-3.5=20.5-3.5=17\text{cm}$

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