IBPS Clerk Prelims practice question
In triangle PQR, PQ = 25 cm, PR = 21 cm and QR = 14 cm. S is the midpoint of QR. Find the length of the median PS.
From a IBPS Clerk Prelims Quantitative Aptitude practice set · Quantitative Aptitude
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Correct answer: (B) 22 cm
By Apollonius's theorem, the median from P to QR satisfies PS² = (2×PQ² + 2×PR² − QR²)/4 = (2×25² + 2×21² − 14²)/4 = (1250 + 882 − 196)/4 = 1936/4 = 484. So PS = √484 = 22 cm.
हिंदी में प्रश्न
त्रिभुज PQR में, PQ = 25 सेमी, PR = 21 सेमी और QR = 14 सेमी है। S, QR का मध्यबिंदु है। माध्यिका PS की लंबाई ज्ञात कीजिए।
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सही उत्तर: (B) 22 सेमी
अपोलोनियस प्रमेय के अनुसार, P से QR तक माध्यिका के लिए PS² = (2×PQ² + 2×PR² − QR²)/4 = (2×25² + 2×21² − 14²)/4 = (1250 + 882 − 196)/4 = 1936/4 = 484 होता है। अतः PS = √484 = 22 सेमी।
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