यदि Δ ABC ∼ Δ QPR, , AC = 12 सेमी, AB = 18 सेमी और BC = 10 सेमी है, तब PR का मान (सेमी में) किसके बराबर है?

This question was previously asked in
SSC CHSL 2020 Official Paper 31 (Held on: 11 Aug 2021 Shift 1)
View all SSC CHSL Papers >
  1. 15
  2. 8
  3. 10
  4. 18

Answer (Detailed Solution Below)

Option 1 : 15
Free
SSC CHSL General Intelligence Sectional Test 1
25 Qs. 50 Marks 18 Mins

Detailed Solution

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दिया है:

 Δ ABC ∼ Δ QPR, ,

AC = 12 सेमी, AB = 18 सेमी और BC = 10 सेमी

प्रयुक्त अवधारणा:

Δ ABC ∼ Δ QPR 

⇒ संबंधित क्षेत्रफलों का अनुपात = संबंधित भुजाओं के वर्ग का अनुपात

अर्थात, 

गणना:

⇒ 4/9 = (10)2/PR2

⇒ PR2 = 900/4

⇒ PR2 = 225

⇒ PR = 15 सेमी

Mistake Points इस प्रश्न में, यह दिया गया है कि ΔABC, ΔQPR के समरूप है। इसको ΔPQR पढ़ने की गलती न करें।

Δ ABC ∼ Δ QPR, समानता नियम लागू करते समय यह संबंध मायने रखता है,

 

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