IBPS RRB Office Assistant (Multipurpose) Prelims practice question
In an isosceles triangle, the equal sides are 51 cm each and the altitude to the base is 45 cm. Find the area of the triangle.
From a IBPS RRB Office Assistant (Multipurpose) Prelims Quantitative Aptitude practice set · Quantitative Aptitude
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Correct answer: (A) 1080 cm²
Half-base = √(equal² − altitude²) = √(51² − 45²) = √(2601 − 2025) = √576 = 24 cm, so base = 48 cm. Area = (1/2) × base × altitude = (1/2) × 48 × 45 = 1080 cm².
हिंदी में प्रश्न
एक समद्विबाहु त्रिभुज में बराबर भुजाएँ 51 सेमी-51 सेमी हैं और आधार पर डाला गया शीर्षलंब 45 सेमी है। त्रिभुज का क्षेत्रफल ज्ञात कीजिए।
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सही उत्तर: (A) 1080 cm²
आधे आधार = √(बराबर भुजा² − शीर्षलंब²) = √(51² − 45²) = √(2601 − 2025) = √576 = 24 सेमी, अतः आधार = 48 सेमी। क्षेत्रफल = (1/2) × आधार × शीर्षलंब = (1/2) × 48 × 45 = 1080 वर्ग सेमी।
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