Find the area of a triangle whose base is 25 cm long and corresponding height is 10.8 cm

Options

A. `135 cm ^(2)`
B. `531 cm ^(2)`
C. `153 cm ^(2)`
D. None of these

Answer

To find the area of a triangle with a given base and height, we can use the formula:

### Step 1: Write down the formula for the area of a triangle.
The area \( A \) of a triangle can be calculated using the formula:
\[ A = \frac{1}{2} \times \text{base} \times \text{height} \]

### Step 2: Identify the base and height from the problem.
From the question, we have:
- Base = 25 cm
- Height = 10.8 cm

### Step 3: Substitute the values into the formula.
Now, we can substitute the values of the base and height into the formula:
\[ A = \frac{1}{2} \times 25 \, \text{cm} \times 10.8 \, \text{cm} \]

### Step 4: Calculate the area.
First, calculate \( \frac{1}{2} \times 25 \):
\[ \frac{1}{2} \times 25 = 12.5 \]
Now, multiply this result by the height:
\[ A = 12.5 \, \text{cm} \times 10.8 \, \text{cm} = 135 \, \text{cm}^2 \]

### Step 5: State the final answer.
Thus, the area of the triangle is:
\[ \text{Area} = 135 \, \text{cm}^2 \]

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