Triangles
Madhya Pradesh Board · Class 10 · Mathematics
Flashcards for Triangles — Madhya Pradesh Board Class 10 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
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Explore the full setSolve: In a triangle, a line parallel to one side cuts the other two sides at D and E. If AD = 3 cm, DB = 5 cm, and AE = 6 cm, find EC.
Answer
Use the Basic Proportionality Theorem: AD/DB = AE/EC. Step 1: Substitute values: 3/5 = 6/EC. Step 2: Cross-multiply: 3 × EC = 5 × 6. Step 3: 3EC = 30. Step 4: EC = 10 cm. Answer: EC = 10 cm.
हल कीजिए: एक त्रिभुज में, एक भुजा के समानांतर एक रेखा दूसरी दो भुजाओं को D और E पर काटती है। यदि AD = 3 cm, DB = 5 cm, और AE = 6 cm, तो EC ज्ञात कीजिए।
Answer
मूलानुपातिकता प्रमेय का उपयोग करें: AD/DB = AE/EC. चरण 1: मान प्रतिस्थापित करें: 3/5 = 6/EC. चरण 2: क्रॉस-गुणा करें: 3 × EC = 5 × 6. चरण 3: 3EC = 30. चरण 4: EC = 10 cm. उत्तर: EC = 10 cm.
When do you use the Basic Proportionality Theorem? Apply it to find AD/AB and AE/AC if DE || BC in triangle ABC.
Answer
Use it when a line is drawn parallel to one side of a triangle and meets the other two sides. Step 1: From BPT, AD/DB = AE/EC. Step 2: Add 1 to both sides in ratio form to get AB/AD = AC/AE. Step 3: I…
आप मूल आनुपातिकता प्रमेय का उपयोग कब करते हैं? त्रिभुज ABC में DE || BC यदि AD/AB और AE/AC ज्ञात करने के लिए इसका उपयोग करें।
Answer
इसका उपयोग तब करें जब एक रेखा त्रिभुज के एक भुजा के समानांतर खींची जाए और वह अन्य दो भुजाओं से मिलती है। चरण 1: BPT से, AD/DB = AE/EC. चरण 2: दोनों तरफ अनुपात रूप में 1 जोड़ें जिससे AB/AD = AC/AE प्रा…
Solve: In triangle ABC, DE is parallel to BC. If AD = 4 cm and AB = 10 cm, find AE/AC.
Answer
Use the result from BPT: AD/AB = AE/AC. Step 1: Substitute values: 4/10 = AE/AC. Step 2: Simplify: 2/5 = AE/AC. Answer: AE/AC = 2/5.
हल कीजिए: त्रिभुज ABC में, DE, BC के समानांतर है। यदि AD = 4 cm और AB = 10 cm है, तो AE/AC ज्ञात कीजिए।
Answer
BPT से प्राप्त परिणाम का उपयोग करें: AD/AB = AE/AC. चरण 1: मान प्रतिस्थापित करें: 4/10 = AE/AC. चरण 2: सरल करें: 2/5 = AE/AC. उत्तर: AE/AC = 2/5.
Solve: In triangle ABC, DE is parallel to BC. If AD/DB = AE/EC and AD = 6 cm, DB = 4 cm, AE = 9 cm, find EC.
Answer
Use the converse of BPT ratio idea. Step 1: Write the ratio: AD/DB = AE/EC. Step 2: Substitute: 6/4 = 9/EC. Step 3: Cross-multiply: 6EC = 36. Step 4: EC = 6 cm. Answer: EC = 6 cm.
हल कीजिए: त्रिभुज ABC में, DE, BC के समानांतर है। यदि AD/DB = AE/EC और AD = 6 cm, DB = 4 cm, AE = 9 cm, तो EC ज्ञात कीजिए।
Answer
BPT अनुपात के विपरीत विचार का उपयोग करें। चरण 1: अनुपात लिखें: AD/DB = AE/EC। चरण 2: प्रतिस्थापित करें: 6/4 = 9/EC। चरण 3: क्रॉस-गुणा करें: 6EC = 36। चरण 4: EC = 6 cm। उत्तर: EC = 6 cm।…
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