Example 9 - D is a point on side BC of ABC such that AD = AC - Side inequality

  1. Chapter 7 Class 9 Triangles
  2. Serial order wise
Ask Download

Transcript

Example 9 D is a point on side BC of Δ ABC such that AD = AC (see figure). Show that AB > AD. AD = AC So, ∠ ACD = ∠ ADC Now, ∠ ADC is an exterior angle for ΔABD. ∠ ADC = ∠ ABD + ∠ BAD So, ∠ ADC > ∠ ABD ∠ ACD > ∠ ABD AB > AC ∴ AB > AD 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 provides courses for Mathematics from Class 9 to 12. You can ask questions here.
Jail