त्रिभुज ABC में दिया गया है। यदि a = 6 cm है, तो त्रिभुज का क्षेत्रफल कितना है?

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NDA-II 2024 (Maths) Official Paper (Held On: 01 Sept, 2024)
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  1. 9√3 वर्ग सेमी
  2. 12 वर्ग सेमी
  3. 18√3 वर्ग सेमी
  4. 24 वर्ग सेमी

Answer (Detailed Solution Below)

Option 1 : 9√3 वर्ग सेमी
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NDA 01/2025: English Subject Test
30 Qs. 120 Marks 30 Mins

Detailed Solution

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स्पष्टीकरण:

दिया गया,

⇒b2+ c 2 – a 2 = c 2 + a 2 – b 2 = a 2 + b 2 – c 2

⇒ a 2 = b 2 = c  

⇒ a = b = c

अतः ABC एक समबाहु त्रिभुज है

समबाहु त्रिभुज की भुजा a = 6 cm

समबाहु त्रिभुज का क्षेत्रफल है,

∴ त्रिभुज का क्षेत्रफल 9 × √3 वर्ग सेमी है।

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