Question
Download Solution PDFसमभुज चौकोनाच्या प्रत्येक बाजूची लांबी 5 मीटर दिली आहे आणि त्यातील एका कर्णची लांबी 2.8 मीटर आहे. समभुज चौकोनाचे क्षेत्रफळ शोधा.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसमजा समभुज चौकोनाच्या दुसऱ्या कर्णांची लांबी 2x मी आहे
आपल्याला माहिती आहे,
a2 = (d1/2)2 + (d2/2)2 [a = समभुज चौकोनाची बाजू, d1 आणि d2 हे कर्ण आहेत]
⇒ (2.8/2)2 + (2x/2)2 = (5)2
⇒ 1.96 + x2 = 25
⇒ x2 = 23.04
⇒ x = 4.8 मी
दुसऱ्या कर्णाची लांबी = 4.8 × 2 = 9.6 मी
तसेच, समभुज चौकोनाचे क्षेत्रफळ = ½ × कर्णांचा गुणाकार
∴ समभुज चौकोनाचे क्षेत्रफळ = 1/2 × 2.8 × 9.6 = 13.44 मी 2
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