Comparison of Triangle Areas

Hard Quantitative Comparisons Geometry Comparisons

Consider two triangles, Triangle A and Triangle B, both of which are right triangles. Triangle A has legs of length 6 and 8 units. Triangle B has legs of length 9 units and 12 units.

Determine the relationship between the areas of the two triangles. The area of a triangle can be calculated using the formula:

$A = \frac{1}{2} \times \text{base} \times \text{height}$

What is the comparison between the area of Triangle A and the area of Triangle B?

The area of Triangle A is less than the area of Triangle B.

The area of Triangle A is equal to the area of Triangle B.

The area of Triangle A is greater than the area of Triangle B.

The areas are not comparable.

Hint

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