A B C D E DE โˆฅ BC AD/DB=AE/EC
Chapter 6 ยท Class X Mathematics ยท NCERT Exercises

Triangles โ€” Exercises

Similarity ยท Pythagoras ยท Criteria โ€” Every Triangle Theorem Applied

๐Ÿ“‚ 3 Exercises ๐Ÿ“ 29 Questions ๐ŸŽ“ High
โ–ถ Start Exercises ๐Ÿ“– Revise Notes

Exercise Index

โ‘ 
Exercise 6.1
Similar figures; Basic Proportionality Theorem (Thales)
3 Q Easy
โ‘ก
Exercise 6.2
BPT; converse; parallel lines in triangles
10 Q Moderate
โ‘ข
Exercise 6.3
Similarity criteria: AA, SSS, SAS; corresponding sides and angles
16 Q Hard

3 exercise files ยท 29 total questions

Chapter at a Glance

CBSE BoardsNTSEOlympiad
12 Concepts
10 Formulas
High Difficulty
10โ€“12% Weightage

Before You Begin

Prerequisites

  • โœ“Congruence of triangles (Class IX)
  • โœ“Properties of quadrilaterals
  • โœ“Basic proportionality

Have Ready

  • ๐Ÿ”งGeometry compass and ruler
  • ๐Ÿ”งProtractor
  • ๐Ÿ”งNCERT theorems list

Exercise Topic Map

Exercise 6.1 Identify similar shapes; state BPT: DEโˆฅBC โŸน AD/DB = AE/EC
Exercise 6.2 Apply BPT and converse in diagrams; prove lines parallel or find unknown ratios
Exercise 6.3 State similarity criterion (AA/SSS/SAS); write vertices in order; state all corresponding elements

Key Formulae โ€” Recall Before Solving

\(\dfrac{AD}{DB} = \dfrac{AE}{EC} \quad \text{(BPT: DE} \parallel \text{BC)}\)
\(\dfrac{\text{Area}(\triangle_1)}{\text{Area}(\triangle_2)} = \dfrac{AB^2}{DE^2} = \dfrac{BC^2}{EF^2}\)
\(AC^2 = AB^2 + BC^2 \quad \text{(Pythagoras)}\)
\(\triangle ABC \sim \triangle DEF \Rightarrow \dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{CA}{FD}\)

NCERT Solving Method

Step 1 โ€” BPT: confirm DEโˆฅBC first using given angle or side info. Step 2 โ€” Similarity: identify known angles/sides; choose appropriate criterion (AA preferred when angles available). Step 3 โ€” Always write similar triangles with vertices in CORRECT corresponding order. Step 4 โ€” Pythagoras converse: compute all three squares; check if largest = sum of other two.

Continue Your Preparation

๐Ÿ“–NotesTheory & concepts ๐Ÿง MCQsTopic-wise practice โš–๏ธTrueโ€“FalseConcept check โžก๏ธNext ChapterCoordinate Geometry
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NCERT Class 10 Maths Chapter 6 Triangles Solutions ๐Ÿ”ฅ All Exercises with Step-by-Step Answers
NCERT Class 10 Maths Chapter 6 Triangles Solutions ๐Ÿ”ฅ All Exercises with Step-by-Step Answers โ€” Complete Notes & Solutions · academia-aeternum.com
๐ŸŽ“ Class 10 ๐Ÿ“ Mathematics ๐Ÿ“– NCERT โœ… Free Access ๐Ÿ† CBSE ยท JEE
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