Given a triangle with sides of lengths $a$, $b$, and $c$, which formula correctly gives the perimeter of the triangle?

• A. $a+b+c$
• B. $\sqrt{a+b+c}$
• C. $\frac{a+b+c}{2}$
• D. $a\ast b\ast c$

Answer: (A)

Verified step by step guidance

1. Recall that the perimeter of a triangle is the total length around the triangle, which means you add the lengths of all its sides together.
2. Given the sides of the triangle are \( a \), \( b \), and \( c \), the perimeter \( P \) is calculated by summing these three lengths.
3. Write the formula for the perimeter as \( P = a + b + c \). This formula simply adds the three side lengths.
4. Understand that the other options given, such as \( \sqrt{a + b + c} \), \( \frac{a + b + c}{2} \), or \( a \times b \times c \), do not represent the perimeter but correspond to other geometric or algebraic concepts.
5. Therefore, the correct formula for the perimeter of the triangle is the sum of its sides: \( a + b + c \).