RRB NTPC CBT-1 previous year question
A parallelogram has sides 12 cm and 9 cm long. The length of one of its diagonals is 15 cm. What is the area (in cm2) of the parallelogram?
Asked in RRB NTPC 2026 — 18 June Shift 3 · Quantitative Aptitude
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Correct answer: (B) 108
Since 92+122=81+144=225=152, the sides 9, 12 and the diagonal 15 form a right triangle. The diagonal splits the parallelogram into two such right triangles, so the area = 2 x (1/2 x 9 x 12) = 108 cm2.
हिंदी में प्रश्न
एक समांतर चतुर्भुज की भुजाओं की लंबाई 12 cm और 9 cm Sl इसके एक विकर्ण की लंबाई 15 है। समांतर चतुर्भुज का क्षेत्रफल (cm? में) कितना होगा? oe ह
उत्तर जाँचने के लिए किसी विकल्प पर टैप करें।
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सही उत्तर: (B) 108
चूँकि 92+122=81+144=225=152 है, भुजाएँ 9, 12 और विकर्ण 15 एक समकोण त्रिभुज बनाती हैं। यह विकर्ण समांतर चतुर्भुज को ऐसे दो समकोण त्रिभुजों में बाँटता है, अतः क्षेत्रफल = 2 x (1/2 x 9 x 12) = 108 वर्ग सेमी।
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