CBSE Exam  Congruence of  Triangle Solved Questions   Q. 1. Prove that Sum of Two Sides of a triangle is greater than twice the length of median drawn to third side.   Given:   Δ ABC in which AD is a median.   To prove:   AB + AC > 2AD.                                                       Construction:   Produce AD to E, such that AD = DE. Join EC.     Proof:   In ΔADB and ΔEDC,   AD = DE              (Construction)   BD = BD             (D is the mid point of BC)   ∠ ADB = ∠ EDC       (Vertically opposite angles)   ∴  ΔADB   ≅          ΔEDC   (SAS congruence criterion)   ⇒  AB = ED               (CPCT)   In ΔAEC,   AC + ED > AE           ( S...
CBSE NCERT SOLUTION, STUDY MATERIAL, NOTES,CTET, SAMPLE PAPER, SCIENCE, PHYSICS, CHEMISTRY, BIOLOGY, CBSE QUESTION PAPER, SAMPLE PAPER, CBSE Syllabus; CBSE Model Papers; BOARD Exam PAPER; ONLINE STUDY HELP, STUDY MATERIALS, For CLASS 6 to 12, PDF FILE, YouTube VIDEO for lessons.