Find the area of the triangle whose base measures 24 cm and the corresponding height measures 14.5 cm.

Answer

To find the area of the triangle with a base of 24 cm and a height of 14.5 cm, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the formula for the area of a triangle**:
The formula to calculate the area \( A \) of a triangle is given by:
\[ A = \frac{1}{2} \times \text{base} \times \text{height} \]

2. **Substitute the values of base and height**:
Here, the base \( b = 24 \) cm and the height \( h = 14.5 \) cm. Plugging these values into the formula:
\[ A = \frac{1}{2} \times 24 \times 14.5 \]

3. **Calculate the product of base and height**:
First, calculate \( 24 \times 14.5 \):
\[ 24 \times 14.5 = 348 \]

4. **Multiply by \(\frac{1}{2}\)**:
Now, divide the product by 2:
\[ A = \frac{348}{2} = 174 \]

5. **State the final area**:
Therefore, the area of the triangle is:
\[ A = 174 \, \text{cm}^2 \]

### Final Answer:
The area of the triangle is \( 174 \, \text{cm}^2 \).

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