Calculate Triangle Perimeter: Isosceles Triangle with Sides 6, 6, and 4

The problem provides us with an isosceles triangle $ABC$ where two sides are equal. According to the diagram and given values, $AC = AB = 6$ and $BC = 4$.

• Step 1: Identify the sides of the triangle.
  • Equal sides: $AC = 6$ and $AB = 6$.
  • Base: $BC = 4$.
• Step 2: Calculate the perimeter.
  • Use the formula for the perimeter of a triangle: $P = a + b + c$.
  • Substitute the side lengths: $P = 6 + 6 + 4$.
  • Simplify: $P = 16$.

Therefore, the perimeter of triangle $ABC$ is $16$.