Find the height of a triangle having an area of `72 cm^(2)` and base 16 cm. 

Options

A. 7cm
B. 8cm
C. 9cm
D. 4cm

Answer

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

\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]

### Step-by-Step Solution:

1. **Identify the given values**:
- Area (A) = 72 cm²
- Base (b) = 16 cm

2. **Substitute the values into the area formula**:
\[ 72 = \frac{1}{2} \times 16 \times h \]

3. **Multiply both sides by 2 to eliminate the fraction**:
\[ 2 \times 72 = 16 \times h \]
\[ 144 = 16h \]

4. **Divide both sides by 16 to solve for height (h)**:
\[ h = \frac{144}{16} \]

5. **Calculate the value**:
\[ h = 9 \text{ cm} \]

### Final Answer:
The height of the triangle is **9 cm**.

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