SSC CGL Tier-II practice question
In a right-angled triangle, the hypotenuse is 25 cm and one leg is 15 cm. The altitude from the right angle meets the hypotenuse at D. Find the length of the segment of the hypotenuse adjacent to the 15 cm leg.
From a SSC CGL Tier-II Quantitative Aptitude practice set · Quantitative Aptitude
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Correct answer: (D) 9 cm
For a leg adjacent to a hypotenuse segment, leg² = segment × hypotenuse. So 15² = p × 25, giving 225 = 25p, so p = 9 cm.
हिंदी में प्रश्न
एक समकोण त्रिभुज में कर्ण 25 सेमी है और एक भुजा 15 सेमी है। समकोण से डाला गया शीर्षलंब कर्ण को बिंदु D पर मिलता है। 15 सेमी भुजा से सटे कर्ण के भाग की लंबाई ज्ञात कीजिए।
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सही उत्तर: (D) 9 सेमी
कर्ण के भाग से सटी भुजा के लिए, भुजा² = भाग × कर्ण। अतः 15² = p × 25, जिससे 225 = 25p, अतः p = 9 सेमी।
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