Answer:
[tex]a=2s-b-c[/tex]
Step-by-step explanation:
Given formula:
[tex]s=\frac{a+b+c}{2}[/tex]
To solve for [tex]a[/tex]
In order to solve for [tex]a[/tex] we will try to isolate [tex]a[/tex] on one side of the equation.
Steps to isolate [tex]a[/tex].
1) Multiplying both sides by [tex]2[/tex] to remove fractions.
[tex]2\times s=2\times \frac{a+b+c}{2}[/tex]
[tex]2s=a+b+c[/tex]
2) Subtracting both sides by [tex]b[/tex]
[tex]2s-b=a+b-b+c[/tex]
[tex]2s-b=a+c[/tex]
3) Subtracting both sides by [tex]c[/tex]
[tex]2s-b-c=a+c-c[/tex]
[tex]2s-b-c=a[/tex]
Thus, we successfully isolated [tex]a[/tex] on one side. The formula for [tex]a[/tex] can be given as:
∴ [tex]a=2s-b-c[/tex]
