Question
Download Solution PDFसमभुज चौकोनाच्या एका बाजूची लांबी 37 सेमी आहे आणि त्याचे क्षेत्रफळ 840 चौरस सेमी आहे. त्याच्या कर्णांच्या लांबीची बेरीज शोधा.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसमजा P आणि Q हे समभुज चौकोनाचे कर्ण आहे,
समभुज चौकोनाचे क्षेत्रफळ = दोन्ही कर्णांचे गुणाकार/ 2,
⇒ 840 = P × Q /2,
⇒ P × Q = 1680,
पायथागोरस प्रमेय वापरून आपणास मिळते,
⇒ (P/2)2 + (Q/2)2 = 372
⇒ P2 + Q2 = 5476
परिपूर्ण चौरस सूत्र वापरून आपणास मिळते,
⇒ (P + Q)2 = P2 + 2PQ + Q2
⇒ (P + Q)2 = 5476 + 2 × 1680
⇒ P + Q = 94
म्हणून पर्याय 4 योग्य आहे.
Last updated on Jun 2, 2025
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