Ex 6.3, 12
Last updated at May 29, 2018 by Teachoo
Transcript
Ex 6.3, 12 Sides AB and BC and median AD of a triangle ABC are respectively proportional to sides PQ and QR and median PM of PQR (see figure). Show that ABC PQR. Given: ABC where AD is the median PQR where PM is the median & / = / = / To Prove: ABC PQR. Proof:- Since AD is the median, BD = CD = 1/2 BC Similarly, PM is the median, QM = RM = 1/2QR Given that / = / = / / =2 /2 = / / = / = / Since all 3 sides are proportional ABD PQM Hence, = In ABC & PQR = / = / Hence by SAS similarly ABC PQR
Chapter 6 Class 10 Triangles
Example 5
Important
Example 8 Important
Example 10 Important
Example 14 Important
Theorem 6.1 - Basic Proportionality Theorem (BPT) Important
Theorem 6.7 Important
Ex 6.2, 4 Important
Ex 6.2, 5 Important
Ex 6.2, 6 Important
Ex 6.2, 9 Important
Ex 6.3, 11 Important
Ex 6.3, 12 Important You are here
Ex 6.3, 13 Important
Ex 6.3, 14 Important
Ex 6.3, 15 Important
Ex 6.4, 1 Important
Ex 6.4, 3 Important
Ex 6.4, 5 Important
Ex 6.5, 2 Important
Ex 6.5, 3 Important
Ex 6.5, 8 Important
Ex 6.5, 11 Important
Ex 6.5, 12 Important
Ex 6.5, 15 Important
Class 10
Important Questions for Exam - Class 10
- Chapter 1 Class 10 Real Numbers
- Chapter 2 Class 10 Polynomials
- Chapter 3 Class 10 Pair of Linear Equations in Two Variables
- Chapter 4 Class 10 Quadratic Equations
- Chapter 5 Class 10 Arithmetic Progressions
- Chapter 6 Class 10 Triangles
- Chapter 7 Class 10 Coordinate Geometry
- Chapter 8 Class 10 Introduction to Trignometry
- Chapter 9 Class 10 Some Applications of Trignometry
- Chapter 10 Class 10 Circles
- Chapter 11 Class 10 Constructions
- Chapter 12 Class 10 Areas related to Circles
- Chapter 13 Class 10 Surface Areas and Volumes
- Chapter 14 Class 10 Statistics
- Chapter 15 Class 10 Probability
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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.