Question

one side of a triangle is 2 cm shorter than the base, x. the other side is 1 longer than the base. what lengths of the base will allow the perimeter of the triangle to be at least 11 cm?

Explanation:

Step1: Express side - lengths

One side is $x - 2$, the other side is $x+1$, and the base is $x$.

Step2: Write perimeter formula

The perimeter $P=x+(x - 2)+(x + 1)=3x-1$.

Step3: Set up inequality

Since the perimeter is at least 11 cm, we have the inequality $3x-1\geq11$.
[SSE Completed, Client Connection Error][SSE onError error]

Answer:

Step1: Express side - lengths

One side is $x - 2$, the other side is $x+1$, and the base is $x$.

Step2: Write perimeter formula

The perimeter $P=x+(x - 2)+(x + 1)=3x-1$.

Step3: Set up inequality

Since the perimeter is at least 11 cm, we have the inequality $3x-1\geq11$.
[SSE Completed, Client Connection Error][SSE onError error]