Question

a triangle has side lengths of (5t + 5u) centimeters, (6v + 7t) centimeters, and (6v + 8u) centimeters. which expression represents the perimeter, in centimeters, of the triangle? answer 14v + 11u + 12t 12t + 12v + 13u 13tv + 10tu + 14uv 19uv + 18tv

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a triangle is the sum of the lengths of its sides. So $P=(5t + 5u)+(6v + 7t)+(6v + 8u)$.

Step2: Remove parentheses

$P = 5t+5u + 6v+7t+6v + 8u$.

Step3: Combine like - terms

Combining the $t$ terms: $5t+7t = 12t$. Combining the $u$ terms: $5u + 8u=13u$. Combining the $v$ terms: $6v+6v = 12v$. So $P=12t + 12v+13u$.

Answer:

$12t + 12v+13u$