भुजाओं a = 10 cm, c = 4 cm और कोण B = 30° के साथ त्रिभुज ABC का क्षेत्रफल क्या है?

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NDA (Held On: 18 Apr 2021) Maths Previous Year paper
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  1. 16 cm2
  2. 12 cm2
  3. 10 cm2
  4. 8 cm2

Answer (Detailed Solution Below)

Option 3 : 10 cm2
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NDA 01/2025: English Subject Test
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Detailed Solution

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अवधारणा:

एक त्रिभुज का क्षेत्रफल = × आधार × ऊंचाई

ΔABC का क्षेत्रफल =

 

गणना:

एक त्रिभुज का क्षेत्रफल = × आधार × ऊंचाई

 × c × a sin∠CBA

 × 10 cm × 4cm sin 30° 

= 5 × 4 ×  (sin 30° = के रूप में)

= 10 cm2

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