The height of a triangle of base 8 cm Is 5 cm, what is its area ?

Options

A. `25 cm^2`
B. `20 cm^2`
C. `24 cm^(2)`
D. `30 cm^2`

Answer

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

**Area of Triangle = (1/2) × Base × Height**

### Step-by-Step Solution:

1. **Identify the Base and Height:**
- The base of the triangle is given as 8 cm.
- The height of the triangle is given as 5 cm.

2. **Substitute the Values into the Formula:**
- Using the formula for the area of a triangle:
\[ \text{Area} = \frac{1}{2} \times \text{Base} \times \text{Height} \]
- Substitute the values:
\[ \text{Area} = \frac{1}{2} \times 8 \, \text{cm} \times 5 \, \text{cm} \]

3. **Calculate the Product of Base and Height:**
- First, calculate \(8 \times 5\):
\[ 8 \times 5 = 40 \, \text{cm}^2 \]

4. **Multiply by 1/2:**
- Now, multiply by \(\frac{1}{2}\):
\[ \text{Area} = \frac{1}{2} \times 40 \, \text{cm}^2 = 20 \, \text{cm}^2 \]

5. **Final Result:**
- The area of the triangle is \(20 \, \text{cm}^2\).