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

Question

In the triangle ABC, the two legs are equal in length. Calculate the perimeter of the triangle.

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Video Solution

Solution Steps

00:06 Let's find the perimeter of this triangle.
00:09 The problem tells us that the triangle has equal sides.
00:13 To find the perimeter, we add up all the sides.
00:17 Now, plug in the lengths of the sides and calculate the perimeter.
00:22 Great! That's how you solve for the perimeter.

Step-by-Step Solution

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

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

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

Answer

16

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