Example 12 - If AD perpendicular BC, prove that AB2 + CD2 - Examples

  1. Chapter 6 Class 10 Triangles
  2. Serial order wise
Ask Download

Transcript

Example 12 In figure, if AD โŠฅ BC, prove that AB2 + CD2 = BD2 + AC2. Given: โˆ† ๐ด๐ต๐ถ where AD โŠฅ BC To Prove:- AB2 + CD2 = BD2 + AC2 Proof: Since AC โŠฅ BD โˆ  ADC = โˆ  ADB = 90ยฐ Doing (1) โ€“ (2) AB2 โ€“ AC2 = (AD2 + BD2) โ€“ (AD2 + CD2) AB2 โ€“ AC2 = AD2 + BD2 โ€“ AD2 โ€“ CD2 AB2 โ€“ AC2 = BD2 โ€“ CD2 AB2 + CD2 = BD2 + AC2 Hence proved

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.