Prove: Angle Bisector Theorem

Let's draw parallel lines to generate equal angles and use the resulting similar triangles to prove the angle bisector theorem.
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[@wetsuitcandy]

3:28 I got lost here, so just so no one else does, angle CAD is equal to CED because it's also equal to BAD! That's the theorem itself, the bisector of angle CAB makes CAD = BAD

[@jiban178]

😢

[@sujoybiswas7943]

Beautifully explained sir thank you

[@dancingbaba9076]

Wow great sir, the way u taught will remain in brain 4 ever , thank u very much

[@touhami3472]

Angke BAD=DAC (bissector) (1)
In triangle BAD:
SinBAD/x =sin(BDA)/a (2)
In triangle DAC:
Sin(DAC)/y=sin(ADC)/b
=sin(BDA) (3) :ADC=pi-BDA.
(1), (2) and (3) give: x/a=y/b.

[@lolerishype]

why tf would you use trig in an easy problem?

[@touhami3472]

@@lolerishype to solve it !

[@mhammedtomy545]

Amazing conclusion

[@Jai_Shree_Radha_Krishna-w4x]

Nice From India 🇮🇳🇮🇳🇮🇳🇮🇳

[@anchalpal5891]

Superb explained in less time🤗🤗🤩

[@omkarreads4474]

Thank You

[@radhekrishna3092]

Radhe Krishna Radhe Krishna

[@radhekrishna3092]

Jay Hanuman Jay Hanuman Radhe Krishna Radhe Krishna

[@holyshit922]

For me proof using law of sines is clear

[@Mark-ll2lt]

yeh

[@lolerishype]

this problem is intended for geo 1 students (Grades 5-8).

[@touhami3472]

@@lolerishype so but what is your problem here?

[@roshaniprajapati9585]

nice

[@anupkumar8746]

Thanks

[@aniruddhsarang0542]

Nice

[@veerappam1006]

thanks sir

[@qwertyuiop1199]

Thank you! The proof was very clear. Btw, are you from S. Korea?

[@Mark-ll2lt]

yeh

[@amrtayan7107]

It’s Japan probably

[@palakbiyani8695]

Your accent! 😍

[@pola_behr]

very sexy proof. extremely justified

[@emiliojr.cabandon6257]

ARE YOU DREAMING?

[@alexmisra6690]

video starts at 0:52

[@ktrinaningthoujam6677]

Sir , you're Korean .

[@panindras]

Super

[@Ajey_Sah]

Are you from India sir ? ❤️

[@shwe746]

Didn't you notice by his way of speaking bro.

[@ps-mx2dq]

You can also prove this by using basic proportional theorem

[@RichardChen]

Can you prove the length of AD is equal to sqrt(a*b-x*y)?

[@aneeshsheesh5843]

Yes

[@amirproof7328]

Usin theorem Talis

[@mathsclassesbyomsir5092]

Hare Krishna Hare Krishna Krishna Krishna Hare Hare
Hare Ram Hare Ram Ram Ram Hare Hare

[@kevinzack537]

Found a pajeet

[@michellauzon4640]

It's immediate with law of sines, using BAD = DAC and sin(BDA) = sin(ADC).

[@arkaprabhasarkar1556]

Very Bad Proof..... Not Justified

[@mentor6059]

To me it is pretty goog! There are different ways to proof the math formula. You have to choose one of the ways you like.

[@pola_behr]

lmao yes it is

[@Ibrahim_Ezzeddine.]

I know it was like someone was on drugs the most stupid prove I have seen in my life even I tried it and do not make sense at all.

[@Sparkle352]

Eh