Question

1. if a triangle has sides of length x, x + 2, and x - 1, what is the perimeter of the triangle in terms of x?

a. 3x - 3
b. 3x - 1
c. 3x + 1
d. 3x + 3

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 sides. So \(P=x+(x + 2)+(x-1)\).

Step2: Combine like - terms

First, group the \(x\) terms and the constant terms:

$$
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Then, simplify the expressions:
For the \(x\) terms, \(x+x+x = 3x\). For the constant terms, \(2-1=1\). So \(P = 3x+1\).

Answer:

C. \(3x + 1\)