Triangles — Flashcards
Madhya Pradesh Board · Class 10 · Mathematics
48 flashcards for Triangles (Madhya Pradesh Board Class 10 Mathematics) to test yourself on key terms and facts.
Interactive on Super Tutor
Studying Triangles? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for flashcards and more.
Free trial, no card needed.
Learn better with visuals Super Tutor pairs illustrations like this with notes and quizzes for Triangles.
Solve: 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।…
+40 more flashcards
Practise AllFrequently Asked Questions
What are the important topics in Triangles for Madhya Pradesh Board Class 10 Mathematics?
How many flashcards are available for Triangles?
How should I revise Triangles for the Madhya Pradesh Board Class 10 board exam?
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Triangles
Practice Quiz
Test yourself with a quick quiz
Important Questions
Exam-style questions with answers
Revision Notes
Key points for last-minute revision
Formula Sheet
The chapter's formulas in one place
Chapter Summary
Understand the chapter at a glance
Concept Maps
See how topics connect
Study Plan
Step-by-step plan for this chapter
Syllabus
What topics to cover
NCERT Solutions
Every textbook question solved step by step
For serious students
Get the full Triangles chapter — start free.
Quizzes, flashcards, an AI doubt solver and a study plan for Madhya Pradesh Board Class 10 Mathematics. Free to start, no card needed.