Question

The area of a triangle is what part of the product of its base and height?

• A. Similar
• B. Half
• C. Double
• D. Quarter

Hint:

The area of a triangle is always half the product of its base and height, unlike a rectangle where area = base × height.

Answer 1

The Correct Option is B

Defining triangle area
Step 1: The area of a triangle is calculated using the formula: \( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \).
Relating to the product
Step 2: The product of the base and height is \( \text{base} \times \text{height} \). The area is half of this product.
Evaluating options
Step 3: Analyze the options:
- (A) Similar: Incorrect, as “similar” is not a quantitative measure.
- (B) Half: Correct, as the area is \( \frac{1}{2} \times \text{base} \times \text{height} \).
- (C) Double: Incorrect, as it overestimates the area.
- (D) Quarter: Incorrect, as it underestimates the area.
Thus, the correct answer is (B).