Question

question a triangle has side lengths of (6x + 10y) centimeters, (8z - 9z) centimeters, and (4z - 7y) centimeters. which expression represents the perimeter, in centimeters, of the triangle? answer 5z + 3y + 14x 3yz + 16xy - xz 14y + 14x - 16z 6yz + 18xz

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a triangle is the sum of the lengths of its sides. So $P=(6x + 10y)+(8x - 9z)+(4z - 7y)$.

Step2: Remove parentheses

$P = 6x+10y + 8x-9z+4z - 7y$.

Step3: Combine like - terms

For the $x$ - terms: $6x+8x = 14x$.
For the $y$ - terms: $10y-7y = 3y$.
For the $z$ - terms: $-9z + 4z=-5z$.
So $P=14x + 3y-5z$.

Answer:

$-5z + 3y+14x$