2025 · Q85
A Question is given followed by two Statements I and II.
Question: In triangle ABC right-angled at B, AC=20 cm. What is the circumradius?
Statement IAB=12 cm.
Statement IIBC=16 cm.
Which one of the following is correct?
Elementary MathematicsCircles
- AThe Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone
- BThe Question can be answered by using either Statement alone
- CThe Question can be answered by using both the Statements together, but cannot be answered using either Statement alone
- DThe Question can be answered even without using any of the Statements
Explanation
In a right triangle the hypotenuse is the diameter of the circumcircle (Thales' theorem). So R = AC/2 = 10 cm. Neither statement is needed - the given hypotenuse alone determines the circumradius.