Comparing the Areas of a Right Triangle and a Rectangle

Hard Quantitative Comparisons Geometry Comparisons

Consider a triangle, Triangle X, with sides measuring 8 units, 15 units, and 17 units. This is a right triangle because it satisfies the Pythagorean theorem.

Next, consider a rectangle, Rectangle Y, with a length of 10 units and a width of 12 units. Calculate the area of both Triangle X and Rectangle Y, then compare their areas.

The area of Triangle X is less than the area of Rectangle Y.

The area of Triangle X is equal to the area of Rectangle Y.

The area of Triangle X is greater than the area of Rectangle Y.

The area of Triangle X is twice the area of Rectangle Y.

Hint

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