Question
Download Solution PDFएक काटकोन त्रिकोणाचे क्षेत्रफळ काढा ज्याचे पाया 15 सेमी आणि कर्ण 17 सेमी आहे.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेल्याप्रमाणे:
पाया = 15 सेमी
कर्ण = 17 सेमी
वापरलेले सूत्र:
काटकोन त्रिकोणाचे क्षेत्रफळ = (1/2) x आधार x उंची
पायथागोरस प्रमेय: a2 + b2 = c2
गणना:
उंची काढण्यासाठी पायथागोरस प्रमेय वापरून:
पाया (a) = 15 सेमी
कर्ण (c) = 17 सेमी
उंची (b) = ?
⇒ 152 + b2 = 172
⇒ 225 + b2 = 289
⇒ b2 = 289 - 225
⇒ b2 = 64
⇒ b = 8 सेमी
आता, काटकोन त्रिकोणाचे क्षेत्रफळ काढा:
क्षेत्रफळ = (1/2) x आधार x उंची
⇒ क्षेत्रफळ = (1/2) x 15 सेमी x 8 सेमी
⇒ क्षेत्रफळ = (1/2) x 120 सेमी2
⇒ क्षेत्रफळ = 60 सेमी2
काटकोन त्रिकोणाचे क्षेत्रफळ 60 सेमी2 आहे.
Last updated on Jul 15, 2025
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