Find the area of a triangle in which base = 25 cm and height = 14 cm.

Options

A. 165 `cm^2`
B. 175 `cm^2`
C. 185 `cm^2`
D. 105 `cm^2`

Answer

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

**Area of a triangle = (1/2) × base × height**

Let's solve the problem step by step.

### Step 1: Identify the values
We are given:
- Base (b) = 25 cm
- Height (h) = 14 cm

### Step 2: Substitute the values into the formula
Using the formula for the area of a triangle:
\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]
Substituting the values:
\[ \text{Area} = \frac{1}{2} \times 25 \, \text{cm} \times 14 \, \text{cm} \]

### Step 3: Calculate the product of base and height
First, calculate the product of the base and height:
\[ 25 \, \text{cm} \times 14 \, \text{cm} = 350 \, \text{cm}^2 \]

### Step 4: Multiply by 1/2
Now, we take half of this product:
\[ \text{Area} = \frac{1}{2} \times 350 \, \text{cm}^2 = 175 \, \text{cm}^2 \]

### Final Answer
Thus, the area of the triangle is:
\[ \text{Area} = 175 \, \text{cm}^2 \]

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