One side of an isosceles triangle is 16 cm . The perimeter of the triangle is 40 cm. Find the other two sides ?

Answer

To find the other two sides of the isosceles triangle, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Problem**: We know that one side of the isosceles triangle is 16 cm, and the perimeter of the triangle is 40 cm. In an isosceles triangle, two sides are equal.

2. **Identify the Sides**: Let's denote the two equal sides as \( x \) cm. Therefore, the sides of the triangle can be represented as:
- Side 1: \( x \) cm
- Side 2: \( x \) cm
- Base: \( 16 \) cm

3. **Set Up the Perimeter Equation**: The perimeter of a triangle is the sum of all its sides. Thus, we can write the equation for the perimeter:
\[ x + x + 16 = 40 \]

4. **Simplify the Equation**: Combine like terms:
\[ 2x + 16 = 40 \]

5. **Isolate the Variable**: To find \( 2x \), subtract 16 from both sides of the equation:
\[ 2x = 40 - 16 \]
\[ 2x = 24 \]

6. **Solve for \( x \)**: Divide both sides by 2 to find the value of \( x \):
\[ x = \frac{24}{2} \]
\[ x = 12 \]

7. **Identify the Other Two Sides**: Since \( x \) represents the length of the two equal sides, the other two sides of the triangle are both \( 12 \) cm.

### Final Answer:
The other two sides of the isosceles triangle are **12 cm** each.