Multiple choice

Which information are sufficient to answer the question asked? पूछे गए प्रश्न का उत्तर देने के लिए कौन सी जानकारियाँ पर्याप्त है? Find the area of a triangle which is formed in a semicircle? एक त्रिभुज का क्षेत्रफल ज्ञात कीजिए जो अर्धवृत्त में बनाया जाता है? Statement I: the diameter of circle is equals to the biggest side of the triangle Statement II: the radius of the circle is 12.5 cm. Statement III: a side of the triangle is 9 cm कथन I: वृत्त का व्यास त्रिभुज की सबसे बड़ी भुजा के बराबर है कथन II: वृत्त की त्रिज्या 12.5 सेमी है। कथन III: त्रिकोण की एक भुजा 9 सेमी है

  1. Any two कोई भी दो

  2. I and II I तथा II

  3. I and II or III I तथा II या III

  4. Only I केवल I

  5. None of these इनमे से कोई नहीं
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Statement I: diameter equals the biggest side, meaning triangle is right-angled (angle in semicircle property). Statement II: radius = 12.5 cm, so diameter = 25 cm. For a right triangle inscribed in a semicircle with diameter 25 cm, if we assume maximum area (right isosceles), legs = 25/√2 ≈ 17.68 cm, area ≈ 156.25 cm². However, the problem is ambiguous - many right triangles can be inscribed. The claimed answer assumes I and II are sufficient, which may imply a specific construction.

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