Comparing Areas of Right Triangles

Consider two triangles, Triangle A and Triangle B, both of which are right triangles. Triangle A has a base of 6 units and a height of 8 units. Triangle B has an area that is equivalent to a rectangle with a length of 12 units and a width of 4 units.

To find the areas of both triangles and compare them, calculate the area of Triangle A using the formula for the area of a triangle, which is:

$$ ext{Area} =\frac{1}{2} imes ext{base} imes ext{height} $$

And for Triangle B, the area can be found since it is equal to the area of the rectangle:

$$ ext{Area}_{ ext{rectangle}} = ext{length} imes ext{width} $$

Now, which triangle has a greater area?