Answer: the correct option is (B) [tex]9.3+b=14.5.[/tex]
Step-by-step explanation: Given that the perimeter of a scalene triangle is 14.5 cm and the longest side is twice that of the shortest side.
We are to select the equation that can be used to find the side lengths if the longest side measures 6.2 cm.
Let l, b and s denotes the lengths of the longest, middle and the shortest side respectively.
Then, according to the given information, we have
[tex]l=2\times s\\\\\Rightarrow 6.2=2s\\\\\Rightarrow s=\dfrac{6.2}{2}\\\\\Rightarrow s=3.1.[/tex]
Now, since the perimeter of the triangle is 14.5 cm, so we get
[tex]l+b+s=14.5\\\\\Rightarrow 6.2+b+3.1=14.5\\\\\Rightarrow 9.3+b=14.5.[/tex]
Thus, the required equation is [tex]9.3+b=14.5.[/tex]
Option (B) is CORRECT.
