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Area of Isoceles Trapezium (Trapezoid) - Solved Problem (Tricky Problem)

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MathsSmart

MathsSmart

11 жыл бұрын

Calculate area of trapezium when the length of parallel sides are given along with length of non parallel sides. To learn more such math lessons visit our channel / mathssmart or subscribe to
/ mathssmart .

Пікірлер: 128
@jellalnd7526
@jellalnd7526 9 жыл бұрын
Thank you so much i was having a hard time solving this problem ^^
@MathsSmart
@MathsSmart 9 жыл бұрын
you are most welcome.
@adhishrathva1120
@adhishrathva1120 4 жыл бұрын
Thank you so much they are help in exam i have many tricks but they are so easy and short thank you 🙏😊😀
@nathnielgoreg618
@nathnielgoreg618 7 жыл бұрын
والله عمل مقدر منكم اساتزاتي ربنا يزيدكم مزيد من البحوث حتى تفيدونا بالكثير ونحن وراعاكم
@julianaekeji6391
@julianaekeji6391 2 жыл бұрын
Your teaching have helped my child alot.
@johnmellor932
@johnmellor932 6 жыл бұрын
I found it easier to use pythagoras once you have a right angle triangle. 4^2 +x^2 =5^2 solve using Algebra, 16 + x^2 = 25. 25 - 16 = 9. Square root 9 = 3 which is the hieght. Then half base times hieght = 2*3 = area of triangle = 6^2. Multiply by 2.Then add to the area of the rectangle.
@jimkoss3318
@jimkoss3318 4 жыл бұрын
john You lost me. Isn’t the area of each triangle 6? Therefore the sum of the triangles is 12? Add the rectangle (6*3 =18) for a total area of 30. Wait, my bad, I think you just made a typo. Happenstance.
@fun2574
@fun2574 4 жыл бұрын
Thanks mam
@shashanksinha6870
@shashanksinha6870 7 жыл бұрын
you helped me lot to solve such types of questions....🤗🤗🤗🤗 thank you so much
@devendragupta8422
@devendragupta8422 5 жыл бұрын
What an idea🙂🙂🙂🙂🙂🙂
@Mylordkrishnaradhe
@Mylordkrishnaradhe 7 жыл бұрын
many mAny thanx..i had vry big confusion about dis question now its cleared..thank u mam
@sangitabargal3199
@sangitabargal3199 5 жыл бұрын
I was having long method but it's to short and simple easy. Thanks once again ❤💟🌹
@vishwanath3824
@vishwanath3824 4 жыл бұрын
ok
@adarshdwivedi7939
@adarshdwivedi7939 3 жыл бұрын
Thanku very much
@newvillain8882
@newvillain8882 6 жыл бұрын
U have been of great help mam
@sajidtyagi9728
@sajidtyagi9728 3 жыл бұрын
Awesome explained
@abhijithsasidharan9369
@abhijithsasidharan9369 5 жыл бұрын
Very good
@arpanabiawas6123
@arpanabiawas6123 11 ай бұрын
Thank you a lot 😊
@sangitabargal3199
@sangitabargal3199 5 жыл бұрын
Thanks man u'r solution was really helpful 😍😍
@rajanikasturi6452
@rajanikasturi6452 5 жыл бұрын
U r sexy
@ehwhynot7631
@ehwhynot7631 4 жыл бұрын
Rajani Kasturi is she?
@muktimaheshwari5892
@muktimaheshwari5892 3 жыл бұрын
Thnx🙏
@historyinajiffy3846
@historyinajiffy3846 3 жыл бұрын
Thank You
@rajukumarthakur9322
@rajukumarthakur9322 2 жыл бұрын
Thank you
@_.yxseen16._
@_.yxseen16._ 3 жыл бұрын
This video is very useful and thank you
@Ella-lv9py
@Ella-lv9py 7 жыл бұрын
thanks this helped me a lot as i have a maths test tomorrow
@samyakjain8548
@samyakjain8548 7 жыл бұрын
very nice
@luksede
@luksede 6 жыл бұрын
Ella :3 😨test
@localgamer8327
@localgamer8327 2 жыл бұрын
Thanks
@localgamer8327
@localgamer8327 2 жыл бұрын
0p
@kanak328
@kanak328 5 жыл бұрын
Thanks for this information..
@raniggokulr5481
@raniggokulr5481 5 жыл бұрын
Nice
@asiyah7105
@asiyah7105 7 жыл бұрын
you just made my day i understand how to do it now
@mustafahaider1928
@mustafahaider1928 6 жыл бұрын
Thanks helped me solve my math problem on trapezoids without lots of love from pakistan😃😃😚
@bot_xd1246
@bot_xd1246 3 жыл бұрын
Thank u so muck I was confused a lot 🥰🥰👍👍
@mahmodolemran9734
@mahmodolemran9734 4 жыл бұрын
অনেক ভাল লাগল। ধন্যবাদ আপনাকে
@ranchoconstruction8394
@ranchoconstruction8394 2 жыл бұрын
PHow do you calculate the area and volume of an non-parallelogram trapezoid, where you have different leg height? Example 1 B1=15, B2=25 and h=5 Area=? V=? Example 2 B1=15, B2=25, h1=5 and h2=6 Area=? V=? I wonder if you can explain? 🤔
@bienvenidos9360
@bienvenidos9360 Жыл бұрын
A trapezoid always has the bases parallel to each other. The example in this problem is a special trapezoid (isoscoles) where the angles that join to the bottom base are equal, therefore the 2 angles that join to the top base are equal and the 2 opposite side lengths are equal. Area of a trapezoid = 1/2(base1 + base2)*height. Area 1st example = 1/2(25+15)*5 = 100. A trapezoid is a 2-dimensional shape so it doesn't have volume, only area. Since a trapezoid has the 2 bases parallel to each other, it will only have one height. So your 2nd example will not result in a trapezoid.
@mdhasibul2968
@mdhasibul2968 6 жыл бұрын
This math soluation is good, but i want a complex formula of trapezium area and angles
@malleshkumar6854
@malleshkumar6854 3 жыл бұрын
dislike
@blp106
@blp106 4 жыл бұрын
Hi Folks. Can you give me the square footage of the following property size. 169.2ft 115.1ft 195.11ft 62.8ft
@vishwanath3824
@vishwanath3824 4 жыл бұрын
nahhhhh
@malleshkumar6854
@malleshkumar6854 3 жыл бұрын
this is a quadrilateral not trapezium
@khushichopra3516
@khushichopra3516 6 жыл бұрын
If the perimeter of the trapezium shaped floor is 56m its non- parallel side are 12m each and altitude is 10m , find the area that the the floor covers. This is the Question which I m not able to understand so will help me.
@khushichopra3516
@khushichopra3516 6 жыл бұрын
Please help me.
@bienvenidos9360
@bienvenidos9360 Жыл бұрын
If 2 sides are each 12 and perimeter = 56, the other sides will be 56-12-12= 32. So the other 2 sides add up to 32. Area of a trapezoid = 1/2(sum of bases)*height. Area=1/2(32)10 Area= 160 meters To determine the exact length of the bases, we can do this since this is an isoscoles trapezium (we know this because 2 of the sides are equal). We have a triangle with hypoteneuse 12, and height 10. Using Pythagorean theorem, 12² -10² = x² 144-100= x² x = sqrt44 There's another length along that base that is also sqrt44 (found from the other triangle formed by the trapezium). So the length between those is the same as the length of the shorter base. Let's say the shorter base = y. The longer base = sqrt44 + sqrt44 + y We already found both bases add up to 32. 32 = y + y + sqrt44 + sqrt44 32 = 2y + 2sqrt44 32 = 2(y + sqrt44) 16= y + sqrt44 16 - sqrt44 meters = y = shorter base Longer base = sqrt44 + sqrt44 + (16 - sqrt44) = 16 + sqrt44 meters The shorter base can also be found using (32 - 2sqrt44)/2 = 16 - sqrt44
@unkownthegamer1556
@unkownthegamer1556 9 жыл бұрын
father taught me how to do this instantly. I wan to tell you a very useful tip but... better keep it to myself until i'm almost dead
@pranav.p5812
@pranav.p5812 5 жыл бұрын
Please tell
@mishkat_fatma_
@mishkat_fatma_ 4 жыл бұрын
Plz tell 😅
@khushbugoswami3521
@khushbugoswami3521 4 жыл бұрын
You just selfish buug.... Go to helll..... If you can't tell us na...... After getting to the god tell them that how you can you take out the area of trapezium..... Senseless can't share good this with uss... And the bad joks and memes... You can share.... Most senseless personnn..... .. ..
@harishthillai5737
@harishthillai5737 6 жыл бұрын
It is so useful thanks
@lingakhan6802
@lingakhan6802 6 жыл бұрын
nice video
@UpulMathsacademy
@UpulMathsacademy 4 жыл бұрын
Good job done thanks lot...
@mohamedjeke1849
@mohamedjeke1849 9 жыл бұрын
thanks very fine welcome africa
@bhopalonwheels2663
@bhopalonwheels2663 6 жыл бұрын
grt one ma'am ...thanks a lot
@tarunmadheshia3162
@tarunmadheshia3162 6 жыл бұрын
awesome .🤗🤗😇😇you are too good
@ashleybeegoo5759
@ashleybeegoo5759 7 жыл бұрын
thank you very much😉
@PreetiYadav-qy1vy
@PreetiYadav-qy1vy 5 жыл бұрын
What if every length is different?
@melaniequintana7476
@melaniequintana7476 5 жыл бұрын
then that isn't an isosceles trapezoid, this formula is specific to isosceles trapezoids only. isosceles trapezoids will always have congruent/ the same sides along with congruent base angles
@jb4tech520
@jb4tech520 8 жыл бұрын
thanks.
@ritikaverma5894
@ritikaverma5894 5 жыл бұрын
Ma'am please write on any copy or board something and thanks for this video 😘😘😘😘😍😍☝️
@tishakumari583
@tishakumari583 4 жыл бұрын
Yes ,right
@imamulhasan6038
@imamulhasan6038 6 жыл бұрын
You have done a great job mam.
@peanutbutter4166
@peanutbutter4166 6 жыл бұрын
I am Root ma’am*
@ANO12330
@ANO12330 6 жыл бұрын
thank you very much mam ... this vedio help me so much....
@margarethoffmann4285
@margarethoffmann4285 6 жыл бұрын
Thx this helped a lot with my honors geometry hw
@ziaamiri4482
@ziaamiri4482 6 жыл бұрын
XXXHeatherXXX Hi I Love you
@madhankumar8803
@madhankumar8803 6 жыл бұрын
nice
@mdkamilkhan6768
@mdkamilkhan6768 5 жыл бұрын
Two adjacent sides of the parallelogram are 10cm and 12cm . if it's one diagonal is 14cm long findthe area of the parallelogram.please solve this question.
@bienvenidos9360
@bienvenidos9360 Жыл бұрын
You can use Heron's formula with triangle. Find semiperimeter = perimeter/2 s = (10 + 12 + 14)/2 = 36/2 = 18 Heron's formula = sqrt[s(s-a)(s-b)(s-c)] = sqrt[18(18-10)(18-12)(18-14)] = Sqrt[18*8*6*4] = Sqrt(3456) = 24sqrt6 Multiply this number by 2 since there are 2 of these triangles in the parallelogram. Area of parallelogram = 2 * 24sqrt6 = 48sqrt6 ~ 117.576 cm Another method, use trig to find an angle of triangle. 14² = 10² + 12² - 2(10)(12)cosA -48 = -240cosA Angle A ~ 78.463° Then use trig again to find area Area = 1/2(10)(12)sinA Area = 60sin78.463° Area~ 58.788 Multiply by 2 since there are 2 identical triangles Area parallelogram ~ 58.788*2 ~ 117.576 cm
@umerelegance9344
@umerelegance9344 6 жыл бұрын
The sum of all the sides also equals to 30cm does it happen every time.
@nimrascraft3780
@nimrascraft3780 6 жыл бұрын
If we have only given two sides trapezoid than what to do?
@someonespadre
@someonespadre 5 ай бұрын
3-4-5 triangles, that is apparent on first glance.
@yozy4996
@yozy4996 6 жыл бұрын
Respectfully...There has to be a simpler way... Thank you just the same.
@johnmellor932
@johnmellor932 6 жыл бұрын
using Pythagoras and algebra is quicker providing you understand them.
@DhananjayKumar-ut9cn
@DhananjayKumar-ut9cn 3 жыл бұрын
Are you chutia
@kanak328
@kanak328 5 жыл бұрын
Plz explain herons formula..with examples
@MathsSmart
@MathsSmart 5 жыл бұрын
I have already uploaded a video on Heron's formula in this channel you can go through that ,if you want solution to any particular problem you can post it here I will solve it for you.
@mangwalian
@mangwalian 7 жыл бұрын
Doing lots of math is very tough if simply add all lengths answer will be the same 14+6+5+5= 30 cm sq.
@palanivelmurugan7380
@palanivelmurugan7380 6 жыл бұрын
thankyouuuuuuuuuuu!
@neelutiwarimishra6557
@neelutiwarimishra6557 8 жыл бұрын
if it is not an isosceles trapezium then what to do
@unphazed_
@unphazed_ 6 жыл бұрын
At= 1/2 h (b1+b2) I know this was a very late reply but that was the formula of a trapezoid.
@dheerajsahi5210
@dheerajsahi5210 5 жыл бұрын
If they give non parallel sides then use na herons formula
@ashrafmoris9478
@ashrafmoris9478 5 жыл бұрын
do the same thing
@waseemkhawaja4773
@waseemkhawaja4773 6 жыл бұрын
Madem can you please calcolate one time more but do not take hypartinuos same like you take 5 and 5 double side you should take 5 and 8
@accuratetecnologeis6593
@accuratetecnologeis6593 6 жыл бұрын
it was the same question in my maths test book
@vinitsingh9619
@vinitsingh9619 6 жыл бұрын
How can we find area of trapezium if only sides are given & all are different. Please solve
@MathsSmart
@MathsSmart 6 жыл бұрын
there are other videos also on this channel which can help you.. otherwise please send the problem statement i'll try to help
@humanityrecovery8058
@humanityrecovery8058 4 жыл бұрын
What you use for edit
@MathsSmart
@MathsSmart 4 жыл бұрын
camtasia
@introvertworld8325
@introvertworld8325 5 жыл бұрын
what will I do if the parallel sides are not equal ?
@MathsSmart
@MathsSmart 5 жыл бұрын
that trapezoid can also be divided into two right angle triangles and a rectangle.
@anikacharjee3932
@anikacharjee3932 5 жыл бұрын
how could be the base same??????
@distroyer049s3
@distroyer049s3 3 жыл бұрын
I have confusion on find hight!😌😌
@user-zf3pi3ib7j
@user-zf3pi3ib7j 2 жыл бұрын
Easy question ko hard bna diya aapne
@RameshKumar-tu5uw
@RameshKumar-tu5uw 5 жыл бұрын
Thank you mam because have a math exam
@notoriousk8777
@notoriousk8777 5 жыл бұрын
In which country is this mathematics from?
@sanjanaapatnaik3327
@sanjanaapatnaik3327 3 жыл бұрын
Indian
@suntzu2102
@suntzu2102 3 жыл бұрын
Isosceles Trapezium's area is much easier to find rather than Scalene One Teach Of Scalene One
@thehgamersgamers7425
@thehgamersgamers7425 9 жыл бұрын
cool
@amitavadasgupta6985
@amitavadasgupta6985 Жыл бұрын
Area=30 sq cm.
@vijenderdalal3150
@vijenderdalal3150 5 жыл бұрын
I scored full in my test by watching this video
@MathsSmart
@MathsSmart 5 жыл бұрын
Congratulations !!
@vishwanath3824
@vishwanath3824 4 жыл бұрын
Lie.....
@humanityrecovery8058
@humanityrecovery8058 4 жыл бұрын
Kitne no. Ka ye question tha
@vishwanath3824
@vishwanath3824 4 жыл бұрын
@@humanityrecovery8058 wut i dont speak hindi i speak english and telugu xd
@billionairezone4302
@billionairezone4302 3 жыл бұрын
Legend watching that before exam
@debashreenkrishninsifko8661
@debashreenkrishninsifko8661 5 жыл бұрын
waooi
@rohitkhanna9695
@rohitkhanna9695 5 жыл бұрын
Background is black not clear visible its irritates...
@funtimewithkartik9943
@funtimewithkartik9943 5 жыл бұрын
i wnt the sltionnn.....by herons formulae.......😑
@sheladiaassociatesinc3119
@sheladiaassociatesinc3119 4 жыл бұрын
Donkey dont know solution spelling
@funtimewithkartik9943
@funtimewithkartik9943 4 жыл бұрын
@@sheladiaassociatesinc3119 Donkey???Do you know...the auto correction on Keyboard....Stop spreading hatred.....Just hell😕
@moh17716
@moh17716 5 жыл бұрын
What if they aren’t equal
@MathsSmart
@MathsSmart 5 жыл бұрын
there are other videos on this channel where other methods can be seen. If you have any specific problem, you can send it here. I will try to solve it.
@SajidHussain-hv5iu
@SajidHussain-hv5iu 6 жыл бұрын
😛
@marivicjoson8997
@marivicjoson8997 4 жыл бұрын
I thought that was trapezoid-_-
@vishwanath3824
@vishwanath3824 4 жыл бұрын
lel!
@kathleendy5273
@kathleendy5273 7 жыл бұрын
patal
@The052798
@The052798 8 жыл бұрын
if base 1 is equal to 6 and base 2 is equal to 16, why is that the base of the triangle is 4?? 4 + 4 + 6 = 14. please redo your video the viewers might get confuse by this. no hate please.
@jayantikasingh7986
@jayantikasingh7986 7 жыл бұрын
Tsukasa Ryoske Base 2 is not equal to 16! It is equal to 14!!
@VasanthKumar-cz4uv
@VasanthKumar-cz4uv 6 жыл бұрын
We can just add all the sides we will get the same answer
@mdgulamrabbani1370
@mdgulamrabbani1370 5 жыл бұрын
khushi. thanks. mam
@janna16april9
@janna16april9 7 жыл бұрын
worse. .
@rukminimandal8868
@rukminimandal8868 3 жыл бұрын
Thank you mam
@manzoorali4096
@manzoorali4096 7 жыл бұрын
Nice
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