माना, Δ ABC ~ Δ QPR है और  है। यदि QP = 12 सेमी, PR = 10 सेमी और AC = 15 सेमी है, तो AB की लंबाई ज्ञात कीजिए:

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AAI Junior Assistant (Fire Service) Official Paper (Held On: 15 Nov 2022 Shift 1)
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  1. 12.8 सेमी
  2. 24 सेमी
  3. 16 सेमी
  4. 19.2 सेमी

Answer (Detailed Solution Below)

Option 4 : 19.2 सेमी
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ST 1: English
20 Qs. 20 Marks 25 Mins

Detailed Solution

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दिया गया है:

Δ ABC ~ Δ QPR

प्रयुक्त सूत्र:

समान त्रिभुजों में, क्षेत्रफलों का अनुपात संगत भुजाओं के अनुपात के वर्ग के बराबर होता है।

गणना:

⇒ 368.64 =

⇒ AB =

⇒ AB = 19.2 सेमी

∴ सही उत्तर विकल्प (4) है।

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