Question
Download Solution PDFत्रिकोणाचा पाया त्रिकोणाच्या समान क्षेत्रफळ असलेल्या समांतरभुज चौकोनाच्या पायाच्या 5/6 भाग आहे. तर त्रिकोणाच्या समांतरभुज चौकोनाच्या संबंधित उंचीचे गुणोत्तर काय असेल?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेल्याप्रमाणे:
त्रिकोण (आधार) = 5/6 समांतरभुज चौकोन (आधार)
त्रिकोणाचे क्षेत्रफळ = समांतरभुज चौकोनाचे क्षेत्रफळ
वापरलेले सूत्र:
त्रिकोणाचे क्षेत्रफळ = 1/2 × पाया × उंची
समांतरभुज चौकोनाचे क्षेत्रफळ = पाया × उंची
गणना:
त्रिकोण आणि समांतरभुज चौकोनाची उंची अनुक्रमे h आणि H असू द्या.
समांतरभुज चौकोनाचा पाया x असू द्या, त्रिकोणाचा पाया 5x/6 आहे.
त्रिकोणाचे क्षेत्रफळ = समांतरभुज चौकोनाचे क्षेत्रफळ
⇒ 1/2 × पाया × उंची = पाया × उंची
⇒ 1/2 × 5x/6 × h = x × H
∴ h/H = 6/5 × 2 = 12/5 = 12 ∶ 5Last updated on Jul 19, 2025
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