Question

2 multiple choice 6.25 points the perimeter of the triangle shown is 26 centimeters. the dimensions of the triangle are given as centimeters in the model below. what value of x makes the diagram true? 4 cm 21 cm 17 cm 2 cm

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a triangle is the sum of its side - lengths. So, $P = 7+7 + 3x$.

Step2: Set up the equation

We know that $P = 26$. So, $7+7 + 3x=26$.

Step3: Simplify the left - hand side

$14 + 3x=26$.

Step4: Isolate the variable term

Subtract 14 from both sides: $3x=26 - 14$, which gives $3x = 12$.

Step5: Solve for x

Divide both sides by 3: $x=\frac{12}{3}=4$.

Answer:

A. 4 cm