Question
Download Solution PDFजर एका चौरसाची परिमिती 40 सेमी आहे, तर चौरसाचा कर्ण किती आहे?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले आहे:
परिमिती = 40 सेमी
वापरलेले सूत्र:
परिमिती = 4 × बाजू
कर्ण = बाजू√2
गणना:
समजा बाजू x सेमी आहे
परिमिती = 4 × बाजू
⇒ 40 = 4x
⇒ x = 10 सेमी
Δ BCD मध्ये,
पायथागोरस प्रमेय वापरून
BC2 = CD2 + BD2
⇒ BC2 = x2 + x2
⇒ BC2 = 2 × 102
⇒ BC2 = 200
⇒ BC = 10√2 सेमी
∴ चौरसाचा कर्ण 10√2 सेमी आहे.
पर्यायी उकल:
परिमिती = 4 × बाजू
⇒ 40 = 4 × बाजू
⇒ बाजू = 10 सेमी
कर्ण = बाजू√2
⇒ कर्ण = 10√2 सेमी
∴ कर्ण 10√2 सेमी आहे.
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