Question
Download Solution PDFएक समकोण का क्षेत्रफल ज्ञात कीजिए जिसका आधार 15 सेमी तथा कर्ण 17 सेमी है।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
आधार = 15 सेमी
कर्ण = 17 सेमी
प्रयुक्त सूत्र:
समकोण त्रिभुज का क्षेत्रफल = (1/2) × आधार × ऊँचाई
पाइथागोरस प्रमेय: a2 + b2 = c2
गणना:
ऊँचाई ज्ञात करने के लिए पाइथागोरस प्रमेय का उपयोग करें:
आधार (a) = 15 सेमी
कर्ण (c) = 17 सेमी
ऊँचाई (b) = ?
⇒ 152 + b2 = 172
⇒ 225 + b2 = 289
⇒ b2 = 289 - 225
⇒ b2 = 64
⇒ b = 8 सेमी
अब, समकोण त्रिभुज का क्षेत्रफल ज्ञात करें:
क्षेत्रफल = (1/2) × आधार × ऊँचाई
⇒ क्षेत्रफल = (1/2) × 15 सेमी × 8 सेमी
⇒ क्षेत्रफल = (1/2) × 120 सेमी2
⇒ क्षेत्रफल = 60 सेमी2
समकोण त्रिभुज का क्षेत्रफल 60 सेमी2 है।
Last updated on Jul 15, 2025
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