Question

solve for the perimeter of △tsv. 10r - 2, 9r, 5r + 8. setup: r= perimeter=

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a triangle is the sum of the lengths of its sides. So, $P=(10r - 2)+9r+(5r + 8)$.

Step2: Combine like - terms

$P=(10r+9r + 5r)+(-2 + 8)$.
$P=(10 + 9+5)r+6$.
$P = 24r+6$.
Since no other information is given to solve for $r$, the setup is $P = 24r+6$. If we assume we want to find $r$ when the triangle has some additional property (not given here, if we just consider the perimeter expression in terms of $r$), we leave it as is.
If we assume we are just asked for the perimeter expression in terms of $r$:

Answer:

Setup: $24r + 6$
$r$: Not enough information
perimeter: $24r+6$