दिए गए ΔABC में, DE ∥ BC है। यदि BC = 8 सेमी, DE = 6 सेमी और ΔADE का क्षेत्रफल = 90 वर्ग सेमी है, तो ΔABC का क्षेत्रफल (वर्ग सेमी में) ज्ञात कीजिए?

F3 SSC Savita 12-1-24 D1

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SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 4)
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  1. 140
  2. 120
  3. 160
  4. 190

Answer (Detailed Solution Below)

Option 3 : 160
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गणना:

F3 SSC Savita 12-1-24 D1

ΔABC ~ ΔADE इसलिए,

(AB/AD)2 = (BC/DE)2 = (AC/AE)= (ΔABC का क्षेत्रफल / ΔADE का क्षेत्रफल)

⇒ (8/6)2 = ΔABC का क्षेत्रफल/90

⇒ ΔABC का क्षेत्रफल  = 90 * 16/9

⇒ ΔABC का क्षेत्रफल = 160

ΔABC का क्षेत्रफल 160 है।

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