Question
Download Solution PDFएक समचतुर्भुज की एक भुजा 37 सेमी और इसका क्षेत्रफल 840 सेमी2 है। इसके विकर्णों की लंबाई का योग ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFP और Q को समचतुर्भुज के विकर्ण मानते हैं,
समचतुर्भुज का क्षेत्रफल = दोनों विकर्णों का गुणनफल / 2,
⇒ 840 = P × Q /2,
⇒ P × Q = 1680,
पाइथागोरस प्रमेय का उपयोग कर हम प्राप्त करते हैं,
⇒ (P/2)2 + (Q/2)2 = 372
⇒ P2 + Q2 = 1369 × 4
⇒ P2 + Q2 = 5476
पूर्ण वर्ग के सूत्र का प्रयोग करने पर,
⇒ (P + Q)2 = P2 + 2PQ + Q2
⇒ (P + Q)2 = 5476 + 2 × 1680
⇒ P + Q = 94
इसलिए विकल्प 4 सही है।
Last updated on Jun 2, 2025
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