Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find the value of v. perimeter = 23 feet v = feet

Question

find the value of v. perimeter = 23 feet v = feet

Explanation:

Step1: Recall the formula for the perimeter of a triangle

The perimeter \( P \) of a triangle is \( P=a + b + c \), where \( a,b,c \) are the side - lengths of the triangle. Let \( a = 8\), \(b = 8\), and \(c=v\). Given \(P = 23\).

Step2: Substitute the values into the perimeter formula

Substitute into \(P=a + b + c\), we get \(23=8 + 8+v\).
First, simplify the right - hand side: \(8 + 8+v=16 + v\). So the equation is \(23=16 + v\).

Step3: Solve for \(v\)

Subtract 16 from both sides of the equation \(23=16 + v\). Using the subtraction property of equality: \(v=23−16\).
\(v = 7\).

Answer:

\(7\)