समान क्षेत्रफल वाला एक त्रिभुज और सामानान्तर चतुर्भुज दिया गया है जहाँ त्रिभुज का आधार, सामानान्तर चतुर्भुज के आधार का आधा है, त्रिभुज व सामानान्तर चतुर्भुज की ऊँचाईयों का अनुपात क्या होगा?

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RRB ALP Previous Paper 4 (Held On: 10 Aug 2018 Shift 2)
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  1. 1 : 4
  2. 4 : 1
  3. 2 : 1
  4. 1 : 2

Answer (Detailed Solution Below)

Option 2 : 4 : 1
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मान लीजिए कि सामानान्तर चतुर्भुज का आधार = b

⇒ त्रिभुज का आधार = b/2

मान लीजिए कि सामानान्तर चतुर्भुज की ऊँचाई h1 है और त्रिभुज की ऊँचाई h2 है

दिया गया है कि सामानान्तर चतुर्भुज का क्षेत्रफल त्रिभुज के क्षेत्रफल के बराबर है

⇒ 1/2 × b/2 × h2 = b × h1

∴ h2 ∶ h1 = 4 ∶ 1
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