Proof of Angle Bisector Theorem | Triangle Angle Bisector Theorem Proof

[@Abby-hi4sf]

I migh be wrong but Labeling the sides make it easier to follow up than using vertex as segment.
AB = x. AC = y that way it will not be busy during calculation. Plus it is easy for followers to remember the sides without reading the vertex

[@holyshit922]

For me sine law or ratio of areas of this two triangles is quite easy proof

[@abhiamathsguide303]

By BPT
AB/AE = BD/DC
as AE = AC
ie, AB/AC = BD/DC

[@user-gs4cq3uk2b]

△ABD:△ACD=(1/2)AB･ADsinθ:(1/2)AC･ADsinθ=AB:AC
△ABD:△ACD=BD:CD
∴AB:AC=BD:CD

[@kaliprasadguru1921]

Sir , don't give sub titles . It is causing obstruction . We can't see what you are writing . Regards.

[@zakirshukurlu1236]

You can open and close subtitles

[@kaliprasadguru1921]

How to open and close sub titles

[@arnavverma3434]

Click on the CC option beside the settings option in the video

[@kaliprasadguru1921]

Thank you Sir