Bihar Police Constable practice question
In triangle ABC, D lies on AB and E lies on AC such that DE is parallel to BC. If AD = 5, DB = 15 and EC = 18, find the length of AE.
From a Bihar Police Constable Quantitative Aptitude practice set · Quantitative Aptitude
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Correct answer: (A) 6 units
Since DE || BC, by the Basic Proportionality Theorem, AD/DB = AE/EC. So AE = (AD × EC)/DB = (5 × 18)/15 = 6 units.
हिंदी में प्रश्न
त्रिभुज ABC में, D भुजा AB पर तथा E भुजा AC पर इस प्रकार स्थित हैं कि DE, BC के समांतर है। यदि AD = 5, DB = 15 और EC = 18 है, तो AE की लंबाई ज्ञात कीजिए।
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सही उत्तर: (A) 6 इकाई
चूँकि DE || BC है, आधारभूत समानुपातिकता प्रमेय से AD/DB = AE/EC। अतः AE = (AD × EC)/DB = (5 × 18)/15 = 6 इकाई।
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