Calculate the length X | Three circles inscribed in a rectangle | (Easy explanation) |

[@arnavkange1487]

Very nice trick .....I love these type of sums

[@PreMath]

Thanks for liking Thanks for your feedback! Cheers! 😀 You are awesome. Keep it up 👍

[@ismailemroz6737]

​@@PreMathnsz😊ss,

[@mvrpatnaik9085]

Explanation is fantastic

[@luigipirandello5919]

Com sua explicação fica fácil entender. Muito obrigado mestre.

[@PreMath]

You are very welcome! Thank you! Cheers! 😀 You are awesome. Keep it up 👍

[@advancedintention7169]

Awesome.... thanks sir

[@PreMath]

You are very welcome! Thank you! Cheers! 😀 You are awesome. Keep it up 👍

[@KAvi_YA666]

Thanks for video.Good luck sir!!!!!!!!!!

[@PreMath]

Thank you too You are awesome. Keep it up 👍

[@AmirgabYT2185]

x=18√6≈44,1

[@ZUBAIR457]

Interesting ❤

[@mohabatkhanmalak1161]

Nice, enjoyed working it out.☀

[@PreMath]

Excellent! Thanks for your feedback! Cheers! 😀 You are awesome. Keep it up 👍

[@soli9mana-soli4953]

18√ 6 applying Pythagorean theorem

[@PreMath]

Excellent! Thanks for sharing! Cheers! You are awesome. Keep it up 👍

[@murdock5537]

Nice! AD =18; AD' = AD + 6 = 24; DE = 30 → DD' = 6 → D'E = √(900 - 36) = 12√6 QE = 15; EF = 21 → QF = √(441 - 225) = 6√6 → x = D'E + QF = AB = 18√6

[@PreMath]

Excellent! Thanks for sharing! Cheers! You are awesome. Keep it up 👍

[@raya.pawley3563]

Thank you!

[@PreMath]

You are very welcome! Thank you! Cheers! 😀 You are awesome. Keep it up 👍

[@marioalb9726]

sin α = (18-12) / (18+12) α = 11,537° sin β = (18x2-12-9) / (12+9) β = 45,585° X = (18+12)cosα + (12+9)cosβ X = 44,09 cm ( Solved √ )

[@PreMath]

Excellent! Thanks for sharing! Cheers! You are awesome. Keep it up 👍

[@bigm383]

Thanks Professor!❤️📐😀

[@PreMath]

My pleasure! Thanks for your feedback! Cheers! 😀 You are awesome. Keep it up 👍

[@madhusudangupta3661]

CB is 6√2 on text bottom line (10:33). I got it as 6√6!

[@lzuluaga6064]

Colocó 6 raíz cuadrada de 2.

[@parthtomar6987]

Nice construction

[@PreMath]

Excellent! Thanks for your feedback! Cheers! 😀 You are awesome. Keep it up 👍

[@pranavamali05]

👌👍

[@PreMath]

Thank you! Cheers! 😀 You are awesome. Keep it up 👍

[@Atharva-jf7cq]

Thanks sir

[@amralashmawi1888]

CB = 6 SQUARE ROOT OF 6 ... CORRECT RIGHT SIDE ... GREAT JOB ... THANK YOU

[@PreMath]

Thanks for your feedback! Cheers! 😀 You are awesome. Keep it up 👍

[@amralashmawi1888]

@@PreMath You are more than welcome

[@Copernicusfreud]

Yay! I solved the problem.

[@PreMath]

Excellent! Thanks for sharing! Cheers! You are awesome. Keep it up 👍

[@ebrahimnedham5646]

Thanks for your continuous effort👍 There is a small writing error in the bottom right of the screen starting at minute 9:40. It says CB=6^2 instead of 6^6.

[@PreMath]

My apologies! I made the video at midnight. Thats why, I made that silly mistake. Thanks for your feedback! Cheers! 😀 You are awesome. Keep it up 👍

[@JamesAdams-ev6fc]

And the long side of the rectangle is 27+18xsqrt(6), the short side is 36 and the area is (27+18xsqrt(6))(36).

[@PreMath]

Super! Thanks for your feedback! Cheers! 😀 You are awesome. Keep it up 👍

[@JamesAdams-ev6fc]

@@PreMath Love the videos wish you had been my teacher. 🙁🥸

[@PreMath]

@@JamesAdams-ev6fc Thanks dear You are the best!

[@Badmintonforall]

love your accent !

[@PreMath]

Thank you! 😃 You are awesome. Keep it up 👍

[@endardwiMTK]

very nice video, ❤

[@PreMath]

Thanks for your feedback! Cheers! 😀 You are awesome. Keep it up 👍

[@MarcoPolo-xu9te]

I solved it all by myself in 5 mnutes, and got ir right...I'm so proud of myself...

[@amiramy48]

there seems to be a mistake in copying from one step to the next towards the end. CB=6 sqrt(6) and then CB = 2 sqrt(6) ??

[@PreMath]

My apologies! I made the video at midnight. I made that silly mistake. Thanks for your feedback! Cheers! 😀 You are awesome. Keep it up 👍

[@wackojacko3962]

Lotsa fun! 🙂

[@PreMath]

Excellent! Thanks for your feedback! Cheers! 😀 You are awesome. Keep it up 👍

[@mohanramachandran4550]

Simple sum

[@PreMath]

Thanks for your feedback! Cheers! 😀 You are awesome. Keep it up 👍

[@murphygreen8484]

Your CB value in the bottom right is incorrect at the end of the video

[@PreMath]

My apologies! I made the video at midnight. Thats why, I made that silly mistake. Thanks for your feedback! Cheers! 😀 You are awesome. Keep it up 👍

[@e1woqf]

√(30²−6²)+√(21²−15²)=44,0908

[@PreMath]

Thanks for sharing! Cheers! You are awesome. Keep it up 👍

[@misterenter-iz7rz]

6sqrt(24)+3sqrt(24)=9sqrt(24)=18sqrt(6), a bit late for broken knee in Hospital now.😟

[@PreMath]

Get well soon! Love and prayers from the USA! 😀

[@gautalawrencebusa7474]

I solved in 5 min or so.

[@PreMath]

Bravo You are awesome. Keep it up 👍

[@JSSTyger]

I've decided to guess....25. I went part way but just didn't have what it took to finish it.

[@JSSTyger]

Nevermind. I thought the 18, 12, and 9 were areas.

[@PreMath]

No worries! Thanks for your feedback! Cheers! 😀 You are awesome. Keep it up 👍

[@giuseppemalaguti435]

x=18sqrt6

[@PreMath]

Excellent! Thanks for sharing! Cheers! You are awesome. Keep it up 👍

[@comdo777]

asnwer=25cm isit

[@batavuskoga]

How do you get 25 ? By the way, it's not a correct answer

[@JSSTyger]

@@batavuskoga Well I assumed the numbers given were areas and think the answer would be close to 25 if thats the case.

[@batavuskoga]

@@JSSTyger not possible area=π*r², so r=sqrt(area/π) blue circle radius= app. 2.4, area 18 yellow circle radius= app. 1.95, area 12 green circle radius= app. 1.69, area 9 height of the rectangle = app. 4.8, much smaller than your answer I calculated x would be about 7.77 in that case