త్రిభుజం ABC లో, AD అనేది కోణం A యొక్క కోణ సమద్విఖండన రేఖ. AB = 8.4 సెం.మీ మరియు AC = 5.6 సెం.మీ మరియు DC = 2.8 సెం.మీ అయితే, భుజం BC పొడవు ఎంత?

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SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 1)
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  1. 4.2 సెం.మీ
  2. 5.6 సెం.మీ
  3. 7 సెం.మీ
  4. 2.8 సెం.మీ

Answer (Detailed Solution Below)

Option 3 : 7 సెం.మీ
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Detailed Solution

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ఇవ్వబడింది:

AB = 8.4 సెం.మీ, మరియు AC = 5.6 సెం.మీ, DC = 2.8 సెం.మీ

ఉపయోగించిన భావన:

త్రిభుజం యొక్క కోణ సమద్విఖండన రేఖ, ఎదుటి భుజాన్ని త్రిభుజం యొక్క మిగిలిన రెండు భుజాలకు అనులోమానుపాతంలో ఉన్న రెండు భాగాలుగా విభజిస్తుంది.

గణన:

 

F1 SSC Amit A 24-02-2023 D11

భావన ప్రకారం,

AB/AC = BD/DC

⇒ 8.4/5.6 = BD/2.8

⇒ 8.4/2 = BD

⇒ 4.2 = BD

కాబట్టి, BD + DC = BC

BC = 4.2 + 2.8

⇒ 7 సెం.మీ

∴ భుజం BC పొడవు 7 సెం.మీ.

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