- 3 5 Note: Figure not drawn to scale. The figure shows the lengths, in inches, of two sides of a right triangle. What is the area of the triangle, in square inches?
","rationale_html":"15 The correct answer is 2. The area, A, of a triangle is given by the formula 1 = A 2bh, where b is the length of the base of the triangle and h is the height of the triangle. In the right triangle shown, the length of the base of the triangle is = = 5 inches, and the height is 3 inches. It follows that b 5 and h 3. Substituting 5 = 1 = 1 5 3 for b and 3 for h in the formula A 2bh yields A 2^ h^ h, which is equivalent to = 1 15 = 15 15 A 2^ h, or A 2. Therefore, the area of the triangle, in square inches, is 2. Note that 15/2 and 7.5 are examples of ways to enter a correct answer.
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