Prove that triangle ABC is isosceles if any one of the following holds:
(i) Bisector of angle BAC is perpendicular to BC
(ii) Altitude AD bisects angle BAC
(iii) Altitude BE = Altitude CF

Question

Prove that triangle ABC is isosceles if any one of the following
holds:
​(i) Bisector of angle BAC is perpendicular to BC
(ii) Altitude AD bisects angle BAC
(iii) Altitude BE = Altitude CF

Harshita Garg · Answer

1 condition
<img src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_59bb366267fc5%20jpeg">

Prove that triangle ABC is isosceles if any one of the following holds: ​(i) Bisector of angle BAC is perpendicular to BC (ii) Altitude AD bisects angle BAC (iii) Altitude BE = Altitude CF

Prove that triangle ABC is isosceles if any one of the following holds:
(i) Bisector of angle BAC is perpendicular to BC
(ii) Altitude AD bisects angle BAC
(iii) Altitude BE = Altitude CF