LIC AAO Prelims practice question
In rhombus EFGH, diagonals intersect at O. If OA = 33 cm and OB = 56 cm, find the length of side AB.
From a LIC AAO Prelims Quantitative Aptitude practice set · Quantitative Aptitude
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Correct answer: (D) 65 cm
Since the diagonals of a rhombus intersect at right angles, triangle AOB is right-angled at O. By Pythagoras, AB = √(OA² + OB²) = √(33² + 56²) = √(1089 + 3136) = √4225 = 65 cm.
हिंदी में प्रश्न
समचतुर्भुज EFGH में विकर्ण O पर काटते हैं। यदि OA = 33 सेमी और OB = 56 सेमी है, तो भुजा AB की लंबाई ज्ञात कीजिए।
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सही उत्तर: (D) 65 cm
चूंकि समचतुर्भुज के विकर्ण समकोण पर काटते हैं, त्रिभुज AOB, O पर समकोण है। पाइथागोरस प्रमेय से, AB = √(OA² + OB²) = √(33² + 56²) = √4225 = 65 सेमी।
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