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Last updated at May 29, 2018 by Teachoo

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Ex 6.5, 13 D and E are points on the sides CA and CB respectively of a triangle ABC right angled at C. Prove that AE2 + BD2 = AB2 + DE2 Given : triangle ABC , right angled at C Two points D and E are on the sides CA and CB To prove: AE2 + BD2 = AB2 + DE2 Proof : Let us join the points D with E and B . And point E with A Using Pythagoras theorem (Hypotenuse)2 = (Height)2 + (Base)2 Here , ACE is a right angle triangle AE2 = AC2 + CE2 In right angle triangle DCB (BD)2 = (DC)2 + (BC)2 In right angle triangle ABC (AB)2 = (AC)2 + (BC)2 In right angle triangle DCE (DE)2 = (DC)2 + CE2 Since L.H.S = R.H.S Hence proved

Ex 6.5

Ex 6.5, 1

Ex 6.5, 2 Important Not in Syllabus - CBSE Exams 2021

Ex 6.5, 3 Important Not in Syllabus - CBSE Exams 2021

Ex 6.5, 4

Ex 6.5, 5

Ex 6.5, 6

Ex 6.5, 7

Ex 6.5, 8 Important

Ex 6.5, 9

Ex 6.5, 10

Ex 6.5, 11 Important

Ex 6.5, 12 Important

Ex 6.5, 13 You are here

Ex 6.5, 14

Ex 6.5, 15 Important

Ex 6.5, 16

Ex 6.5, 17

Chapter 6 Class 10 Triangles

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About the Author

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.