Question: In a triangle ABC right angled at B, AC = 20 cm. What is the circum-radius of the triangle? Statement I: AB = 12 cm Statement II: BC = 16 cm

A Question is given followed by two Statements I and II. Consider the Question and the Statements. Which one of the following is correct in respect of the above Question and the Statements?

  1. A. The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone
  2. B. The Question can be answered by using either Statement alone
  3. C. The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone
  4. D. The Question can be answered even without using any of the Statements ✓

Correct Answer: D. The Question can be answered even without using any of the Statements

Explanation

In a right-angled triangle, the circumradius is exactly half the length of the hypotenuse. Since the hypotenuse AC is given as 20 cm, the circumradius is 10 cm. The statements are unnecessary.

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