LIC AAO Prelims practice question
The side of a rhombus is 29 cm and one of its diagonals is 40 cm. Find the length of the other diagonal.
From a LIC AAO Prelims Quantitative Aptitude practice set · Quantitative Aptitude
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Correct answer: (B) 42 cm
Half of the given diagonal = 40/2 = 20 cm. By Pythagoras, (side)2 = (20)2 + (half of other diagonal)2, so half of other diagonal = sqrt(292 - 202) = 21 cm. Hence the other diagonal = 2 × 21 = 42 cm.
हिंदी में प्रश्न
एक समचतुर्भुज की भुजा 29 सेमी है और उसका एक विकर्ण 40 सेमी है। दूसरे विकर्ण की लंबाई ज्ञात कीजिए।
उत्तर जाँचने के लिए किसी विकल्प पर टैप करें।
उत्तर और व्याख्या देखें
सही उत्तर: (B) 42 सेमी
दिए गए विकर्ण का आधा भाग = 40/2 = 20 सेमी। पाइथागोरस प्रमेय से, (भुजा)2 = (20)2 + (दूसरे विकर्ण के आधे भाग)2, अतः दूसरे विकर्ण का आधा भाग = sqrt(292 - 202) = 21 सेमी। अतः दूसरा विकर्ण = 2 × 21 = 42 सेमी।
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