यदि एक समबाहु त्रिभुज की भुजा 24 सेमी है, तो इसका क्षेत्रफल कितना होगा?

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SSC CGL 2022 Tier-I Official Paper (Held On : 02 Dec 2022 Shift 2)
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  1. 169\(\sqrt3\) सेमी2
  2. 125\(\sqrt3\) सेमी2
  3. 256\(\sqrt3\) सेमी2
  4. 144\(\sqrt3\) सेमी2

Answer (Detailed Solution Below)

Option 4 : 144\(\sqrt3\) सेमी2
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दिया गया है:

एक समबाहु त्रिभुज की भुजा 24 सेमी है।

प्रयुक्त अवधारणा:

एक समबाहु त्रिभुज का क्षेत्रफल = \(\frac {\sqrt3a^2}{4}\) (a = प्रत्येक भुजा की माप)

गणना:

समबाहु त्रिभुज का क्षेत्रफल

⇒ \(\frac {\sqrt3 \times 24^2}{4}\)

⇒ 144\(\sqrt3\) सेमी2

∴ समबाहु त्रिभुज का क्षेत्रफल 144\(\sqrt3\) सेमी2 है।

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