Question

solve for b given that the perimeter of the triangle is 15 miles. show your work here. hint: to add the square root symbol (√), type
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Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a triangle is the sum of its side - lengths. For this triangle, $P=b + b+5$.

Step2: Substitute perimeter value

We know that $P = 15$. So, $15=b + b+5$.

Step3: Simplify the equation

Combine like - terms: $15 = 2b+5$.

Step4: Isolate the term with $b$

Subtract 5 from both sides: $15−5=2b+5 - 5$, which gives $10 = 2b$.

Step5: Solve for $b$

Divide both sides by 2: $\frac{10}{2}=\frac{2b}{2}$, so $b = 5$.

Answer:

$b = 5$