The area of a triangle is 192 sq.cm and its height is 12 cm. Find its base.

Answer

To find the base of the triangle given its area and height, we can follow these steps:

### Step-by-Step Solution:

1. **Write down the formula for the area of a triangle.**
\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]

2. **Substitute the known values into the formula.**
- Given area = 192 sq.cm
- Given height = 12 cm
\[ 192 = \frac{1}{2} \times \text{base} \times 12 \]

3. **Multiply both sides of the equation by 2 to eliminate the fraction.**
\[ 192 \times 2 = \text{base} \times 12 \]
\[ 384 = \text{base} \times 12 \]

4. **Now, divide both sides by 12 to solve for the base.**
\[ \text{base} = \frac{384}{12} \]

5. **Perform the division.**
\[ \text{base} = 32 \text{ cm} \]

### Final Answer:
The base of the triangle is 32 cm.

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