Derivation or Proof of Heron's formula : Find area of a triangle with given sides | Logic Behind

Heron's formula is very useful to calculate the area of a triangle whose sides are given. This video is for all of you who come to my channel to find proofs of formulae.

[@ScottESchmidt]

Years of geometry, trig, algebra, calculus, diff eqns, and linear algebra, and I guess I never learned Heron's formula! How ever did I miss this? Very handy, especially in things like surveying where the triangles are usually not right triangles, the side lengths are the easiest measurements to make, and area is often the item of interest.

[@easwarsir-mathsphysicsexpe128]

Sir if you know application please make very short u tube video related to it..it would help students in understanding practical applications...😊👍thanks🙏

[@raghavkumar670]

Respect for Heron!

[@gamerboyss5310]

heron is gay

[@hangrygaming501]

@@gamerboyss5310 TRUE 👾

[@mister_gravity7350]

@@gamerboyss5310 heron is your father. Understand stupid heron's respect.

[@krishnathakur6604]

😎😎😃

[@dhanvindpk8276]

Awesome! This teacher is a real mathematician!

[@Nikbharat]

Awesome teacher , who corroborated every aspect in simple and decent manner

[@gmdar7478]

Herons formula derived excellently by Maam ji. v v vgood

[@ElvinJones1981]

This is an excellent, clear, presentation! Bravo!

[@ahmedbaig7279]

Yes it is second time I got necessary explanation. Heron's formula is used by students in 8th standard and Phythogourous farmula in 9th standard and proof is done in 10th standard. Thanks.

[@nishannishu1251]

Hg

[@mallikasardar9325]

No Pythagoras is used in 8th standard and heron's formula is used in 9th standard.

[@ratnabharti4635]

@@mallikasardar9325 yes

[@Adityakumar-dp2vn]

Yes😭😭😭😭

[@akshatsinharaj6301]

awesome derivation

[@kusumsingh9498]

Awesome vid, loved it

[@ashutoshkumardalei3264]

Thankyou for the derivation 🙏🙏🙏

[@piyushk.3754]

Kendriya vidyala

[@leenavk1070]

Excellent explanation Thankyou Ma'am

[@abhaytutorial2317]

Thanks you mam I have no any word to thanking you

[@easwarsir-mathsphysicsexpe128]

Thanks very much madam..thanks✌👍🙏

[@EHSANvlogg]

Very very thanks....🙏🙏🙏

[@betelihembefirdu5865]

How did u just do that😳 u are awesome 👏👏

[@INAYATULLAHSHEIKH]

Outstanding

[@mittal_live]

Your voice is just adorable ❤

[@antonyniresh2222]

It was good😃.. Than you

[@aadiseth2754]

Thank you ma'am, ur video helped me so much for my project .

[@youtubervijaykumar5604]

Wow ! amazing !

[@sunetramukherjee3826]

Thank you Mam.

[@Anjani675]

You are incredible,solving this complex proof.

[@chandrakanthsharma7965]

Anjani Upadhyay g

[@balakrushnahotta5091]

Nice explained mam

[@lunjapaobaite4071]

Great.... Derivation.. And simple... Everyone can understand..... Thank you miss/madam

[@icyify2406]

Your explanation was really simple for me to understand. Thanks ma'am!

[@anjibabu1851]

Mam good explanation

[@wannabemedico2508]

good one

[@ultimatezone5808]

What do you use to make such great video, please reply.
If anyone in the chat section knows this, please let me know

[@kanhaiyasharma8493]

Thanku so much
🙏🙏🙏🙏

[@nickvatanshenas9251]

thank you for the video

[@shrikantsawarkar3929]

Thank you

[@armymoa8147]

Thank you so much mam

[@beingalone96]

Thanks u so much mam

[@Dhanuman100]

Brilliant explanation of such a difficult formulae. Excellent work💼💪 and keep it up

[@sanatanranjit2454]

Thanks mam 🙏🏼🙏🏼🙏🏼

[@mksinha9250]

nice

[@amiyakumarkhilar5425]

Thank u so so much mam it helped us a lot once again thank u sooooo much

[@unknown685]

Awesome 🥰

[@nirmalsinghsingh4941]

Superb

[@hemantvirtualstar]

Thanks mam

[@samuelwacho5050]

Wonderfully and simply explained. I appreciate it.

[@edmetpassion8156]

Excellent

[@maths........]

So happy mam

[@chandrakanthsharma7965]

very good formula

[@tricer9995]

The dislikes are just people who can't understand the math

[@rajenderkokkula1118]

what is the tool used by u

[@rupaojha2011]

Really gorgeous. Thanks

[@shainashresth2941]

Thanks

[@DakshKhare]

Helpful

[@savezshaikh9820]

Thnx mam

[@psudhakar6713]

Nice proof

[@chandradeepraut5106]

Thank u mam you are a mathematician

[@kannamariappankannamariapp2942]

Excellent solution . Thanks

[@osamakhan9850]

A great derivation

[@REDOGAMING5000]

Thanks :)

[@AmanSingh-mt2ix]

Thank you mam, Very easy and best explanation.🙏🙏🙏🙏🙏🙏🙏

[@kevinbugusky7416]

Great job! Well explained.

[@ameyareddy8624]

God bless u

[@raviprakashmeena9272]

Good luck on with the way the day and time works best for you guys

[@ahmedbaig7279]

Going otherwise to take the hero's farmula and proofing A=1/2 a.b or proofing A= 1/2 a.b Sin ♡. That would be facinating.

[@biswajeetsingh8023]

Wonderful mind-boggling

[@ashwaryakaurav3069]

awesome.............. :)thanks

[@MrSanTang]

You are the best of the best!!!!

[@fardeenansari4056]

Thank you thank you thank you so much
You are great.

[@buradalakshmanarao9787]

Nice explanation mam thank you

[@boomasaravanan821]

Absolutely amazing, perfect explanation.thanks a lot lot lot🙏🙏🙏

[@movievilla9039]

Mam I have a doubt that the Pythagorean theorem is H2= P2+B2 so how you can write in triangle ABD as H2=c2 - d2

[@MathsSmart]

thats just rearrangement of terms

[@binashah3106]

yes

[@i.m.rakeshranjan]

You should see video again and again.

[@classx2492]

@MathsSmart Pls reply. What is proof of Pythagorean theorms m

[@darfurqan3938]

Mam Do you make these videos on mobile

[@kennedy1727]

Excellent explanation mam thank you for this video mam

[@searching9331]

Good

[@raghavkumar670]

8:46 The moment she said a se a xD

[@veermetri05]

well that's "a से a"

[@hangrygaming501]

Lol

[@nkbrahm6826]

I had used this formula extensively while in school..some 20 plus years hence I had to explain it to my son and I had no clue how it's derived...thanks for the vdo

[@kush146]

Really it is very good and easily understanding method

[@poonamkulung7042]

Wow

[@VolksdeutscheSS]

This was a pretty good derivation. Thumbs up, MathSmart!

[@techguy3308]

Respect

[@bandana1759]

Literally you explained it extremely nice!!!!!

[@shivdinpandey4210]

Heron was brilliant

[@vickykothekar3321]

Heron Bhai ki jay ho......

[@Saurabhkumar-oj4yk]

Is Write verify

[@pradippaul6818]

Explained in a very simple and comprehending way.

[@osamakhan9850]

Wow!!!!!!!

[@punyamjbora7234]

👌👍👍👍👍👍

[@anilkumarsharma8901]

Artificially intelligent ka support dilva do phir Duniya following karegi
Triangle key sabhi possibly formula ka ek function banva do jo sara desh following karega

[@poojagusain8285]

Thnku mam.. soo effectively taught.. please use light clr on board as much as possible.. we are unable to see sometimes

[@VishalKhanna1]

Just one doubt mam from where did this s=(a+b+c)/2 came ?

[@stuartsandskill270]

I also want to know

[@pranavmundhra4519]

It's the semi perimeter , means that the perimeter of the triangle divided by 2

[@stuartsandskill270]

@@pranavmundhra4519 thanks DUSU but I have clear it...😊😊😊

[@stuartsandskill270]

Sorry dude*dusu

[@chetanpundir5730]

Its just an assumption to ease the calculation, you can avoid taking s
But you will end up lengthy formula.... Chill bro

[@jaskaransinghbarwal7120]

A se A kat gya bol dena tha mam koi baat ni chalta hai itna to 8:46

[@sickboydroid]

Wow

[@tamirerez2547]

The proof is nice and neat, your voice is clear and pleasant, it's just a shame that you can't read the sloppy handwriting.
The letters are getting smaller and smaller, the dividing line is crooked, the brackets are crooked, unpleasant to watch.
A math teacher must write in clean and clear letters.
It could be an excellent channel, but the terrible handwriting spoils everything.
Anyway, big LIKE👍❤️ to the effort and the nice proof. With hope that you will improve your handwriting.

[@r.vaishnavi7878]

When h² = b²+p² , how did you write h² = c² - d² ?

[@experimentingalgorithm1546]

In first h² 'h' is Hypotenuse of triangle and in second 'h' it is height of triangle

[@christopherellis2663]

bc=ah h²=d(a-d)

[@HemantKumar-rf7is]

Without drawing any perpendicular can't this statement can be proved?

[@mreverywhere8185]

use law of cosines

[@vivekpandyavivekpandya8795]

Find the are of triangle two are equal and one side are. 6

[@toperquestion283]

MC very simple hs

[@cheemus7465]

watch till 3 min then pproofed ny own

[@Saurabhkumar-oj4yk]

I'm also teaches

[@parvsheth9221]

You also teaches??!!! hahaha

[@notmaconalbuquerque5441]

Learn grammar then teach

[@mrjnutube]

All of a sudden, you introduced "s=(a+b+c)/2". How and why?

[@thezen9]

This could have done with a better explanation, but I'm almost certain it comes from knowing the final solution.
if you were to go through the process without s and just use (a+b+c)/2 instead you would realize the recurring value and likely assign it to a variable such as s to make it easier to read.

[@josephmalone253]

s is the semiperimeter which is the perimeter a+b+c divided by 2. It is the perimeter divided by 2.

[@thezen9]

@@josephmalone253 The question was not of what it is, but how they knew how to define it.

[@josephmalone253]

@@thezen9 how did they know how to define it?

[@thezen9]

​@@josephmalone253 In the video it's likely because it had been solved long beforehand and they likely had a proof for it on hand.
Originally it was likely first simplified without s, and the repetition of (a+b+c)/2 was noticed and then s was defined as this value to make it cleaner and more readable/useable.

[@dmitrypavlov3279]

Derived the formula when I was 11, couldn't make it as pretty as Heron tho

[@keshavagrawal2167]

Why so less views

[@zebahashmi2615]

good h

[@gorikasinghal8464]

Because no one cares about proof until its given in book😂😂
That's reality

[@seetharamulugampala5815]

Derivation means we should not use terms of herons formula like s=a+b+c÷2 in the middle of derivation

[@jonsnowprogaming6291]

(a+b+c)/2 can be taken as an unknown s. This is incorporated into the formula

[@sajeevkumarcg7968]

any mallus

[@juanzavala9023]

you just used heron's formula in your "proof."...

[@MathsSmart]

where exactly ??

[@juanzavala9023]

MathsSmart my bad lady. I was watching that on 3 hours of sleep.