Question

Correct formula for the area of a triangle is:

• A. \( \frac{1}{2} \times \text{base} \times \text{height} \)
• B. base \( \times \) height
• C. \( 2 \times \text{base} \times \text{height} \)
• D. \( \frac{1}{3} \times \text{base} \times \text{height} \)

Hint:

The area of a triangle is always \( \frac{1}{2} \times \text{base} \times \text{height} \).

Answer 1

The Correct Option is A

Step 1: Formula for Area of Triangle. 
The area of a triangle is calculated using the formula: \[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height}. \] This formula gives the area of the triangle by multiplying half of the base with the height. 
Step 2: Verifying the Options. 
- Option (1): This is the correct formula for the area of a triangle. 
- Option (2): This would be incorrect because multiplying the base by the height gives the area of a rectangle, not a triangle. 
- Option (3): This formula does not apply to the area of a triangle. 
- Option (4): This formula is incorrect for the area of a triangle. 
Conclusion: 
Therefore, the correct answer is (1) \( \frac{1}{2} \times \text{base} \times \text{height} \).