6. Let ABC be a right-angled triangle with /_B=90 degree. Let I be the incentre of ABC. Let AI extended intersect BC at F. Draw a line perpendicular to AI at I. Let it intersect AC at E. Prove that IE=IF.

6. Let ABC be a right-angled triangle with /_B=90 degree. Let I be the

1.	6. Let ABC be a right-angled triangle with /_B=90 degree. Let I be the incentre of ABC. Let AI extended intersect BC at F. Draw a line perpendicular to AI at I. Let it intersect AC at E. Prove that IE=IF.
Answer» 6. Let ABC be a right-angled triangle with /_B=90 degree. Let I be the incentre of ABC. Let AI extended intersect BC at F. Draw a line perpendicular to AI at I. Let it intersect AC at E. Prove that IE=IF.