Question

1. find the perimeter of the triangle.

Explanation:

Step1: Recall the formula for the perimeter of a triangle

The perimeter \(P\) of a triangle is the sum of the lengths of its three sides. If the sides are \(a = 3u - 2\), \(b=2u + 7\), and \(c = 4u-1\), then \(P=a + b + c\).

Step2: Substitute the expressions for the sides into the perimeter formula

$$
LATEXBLOCK0
$$

Step3: Remove the parentheses

$$
LATEXBLOCK1
$$

Step4: Combine like - terms

Combine the \(u\) terms (\(3u+2u + 4u=(3 + 2+4)u=9u\)) and the constant terms (\(-2 + 7-1=( - 2-1)+7=-3 + 7 = 4\))

$$
LATEXBLOCK2
$$

Answer:

The perimeter of the triangle is \(9u + 4\)