दिलेल्या आकृतीमध्ये दाखवल्याप्रमाणे ΔABC आणि ΔABD हे समान पायावर आहेत, AB आणि AC = BD आणि BC = AD आहे.

खालीलपैकी कोणता पर्याय सत्य आहे?

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SSC Selection Post 2024 (Higher Secondary Level) Official Paper (Held On: 25 Jun, 2024 Shift 4)
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  1. दिलेल्या आकृतीमध्ये कोणतेही एकरूप त्रिकोण नाहीत
  2. ΔABC ≅ ΔABD
  3. ΔABC ≅ ΔBAD
  4. ΔABC ≅ ΔADB

Answer (Detailed Solution Below)

Option 3 : ΔABC ≅ ΔBAD
Free
SSC Selection Post Phase 13 Matriculation Level (Easy to Moderate) Full Test - 01
100 Qs. 200 Marks 60 Mins

Detailed Solution

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दिलेले आहे:

ΔABC आणि ΔABD हे समान पाया AB आणि AC = BD आणि BC = AD वर आहेत.

वापरलेली संकल्पना:

बाजू-बाजू-बाजूचा एकरूपतेचा नियम असे सांगतो की जर तिन्ही इतर त्रिकोणाच्या संबंधित बाजूंशी समान असतील तर दोन त्रिकोण एकरूप असतात.

गणना:

ΔABC आणि ΔBAD मध्ये

AB = BA (सामाईक पाया)

BC = AD (दिलेले आहे)

AC = BD

म्हणून, ΔABC ≅ ΔBAD

∴ योग्य पर्याय (3) आहे.

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