Question
Download Solution PDFएक समद्विबाहु त्रिभुज का क्षेत्रफल ज्ञात कीजिए जिसका आधार 54 सेमी लंबा है और प्रत्येक समान भुजा 45 सेमी लंबी है।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
एक समद्विबाहु त्रिभुज का क्षेत्रफल जिसका आधार 54 सेमी लंबा और प्रत्येक समान भुजा 45 सेमी लंबी है।
प्रयुक्त सूत्र:
समद्विबाहु त्रिभुज का क्षेत्रफल = 1/2 × b × √a2 – (b/2)2
गणना:
माना एक समद्विबाहु त्रिभुज की समान भुजाएँ क्रमशः a सेमी और आधार b सेमी हैं।
प्रश्नानुसार
समद्विबाहु त्रिभुज का क्षेत्रफल = 1/2 × b × √[a2 – (b/2)2]
⇒ 1/2 × 54 × √[452 – (54/2)2]
⇒ 27 × √2025 – (27)2
⇒ 27 × √(2025 – 729)
⇒ 27 × √1296
⇒ (27 × 36) सेमी2
⇒ 972 सेमी2
∴ अभीष्ट क्षेत्रफल 972 वर्ग सेमी है।
Last updated on Jul 5, 2025
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