Passage

Mark option (a) if the question can be answered by using one of the statements alone, but cannot be answered using the other statement alone. Mark option (b) if the question can be answered by using either statement alone. Mark option (c) if the question can be answered by using both the statements together, but cannot be answered using either statement alone. Mark option (d) if the question cannot be answered even by using both the statements together.

Question: What is the area of the triangle inscribed in a semi-circle with the diameter as the base? Statement-I: The diameter of semi-circle is 20 cm. Statement-II: Two shorter sides of the triangle are 12 cm and 16 cm.

Any triangle inscribed in a semicircle with the diameter as its base is a right triangle, meaning its area is half the product of its two shorter sides. Statement I alone provides the diameter, which is the hypotenuse, but it does not provide the individual lengths of the other two sides. Statement II provides the two shorter sides as 12 cm and 16 cm, allowing you to calculate the area directly as one half times 12 times 16. Since the question can be answered using statement II alone but not statement I alone, option (a) is correct.

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