Question

solve for c given that the perimeter of the triangle is 26 centimeters.

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a triangle is the sum of the lengths of its sides. For this triangle, $P = c + c+8$.

Step2: Set up the equation

We know that $P = 26$. So, $c + c + 8=26$.
Combining like - terms, we get $2c+8 = 26$.

Step3: Isolate the variable term

Subtract 8 from both sides of the equation: $2c+8 - 8=26 - 8$.
This simplifies to $2c=18$.

Step4: Solve for $c$

Divide both sides of the equation by 2: $\frac{2c}{2}=\frac{18}{2}$.
So, $c = 9$.

Answer:

$9$