Area of a Trapezium

[Lynx-vibi]

2nd year mechanical engineering major... watching for fun, something about the videos are nice to binge watch.

[Fadamor]

What I like is that I've been out of school for... (counts on fingers...) 43 years now and I can follow Eddie Woo without feeling like I need to start watching his videos from the very first one just in order to understand what he's talking about. An exemplary teacher!

[snells-window]

Why didn't I have a teacher like you 50 years ago in school? Brilliant work Eddie!

[ColinChick]

You have been a lifesaver to at least one parent suddenly thrown into the deep end of trying to recall all this to assist a child trying to remote-learn during COVID-19 iso! Thank you!

[mahrezjanati]

That's the freaking right way to teach damn it! I wish my teachers are the same. Love ur lessons

[ottosparky]

Mr. Woo is a very gifted individual and teacher. Any of his students, present and former, who have gone on to college and taken higher level mathematics will realize what a remarkable and unique teacher he is. Incredible insight into explaining and communicating the essence, understanding and solution of the problems. Please appreciate this man and his enthusiasm and love of teaching. Thank you Mr. Woo for your teaching videos. They are engaging, educational and entertaining to watch and learn.

[whiskey]

If I become a teacher I want to have just as good examples as you. Good video

[AugustinSteven]

I think of the 1/2 (a+b) as the average of a and b, making a rectangle of equal area whose top/bottom length is that average and the vertical length as h.

[eduardozanitti]

Hello Eddie, i'm from Brazil and you are inspiring me to become a teacher. I'm finishing my master's degree and i hope to become as good as you! Thank you!!!

[adamtck]

Me *Sees an Eddie woo video that doesn’t have a complicated title*
Also me: It’s like I was made for this

[aidankeys]

For the Trapezium I looked at it like a rectangle constructed from b & h. Chopping it up into 3 sections, I was left with the middle of a*h and two ends that when added together create a rectangle of (b-a)*h. Now that a*h section, I put to the side momentarily as that is the actual area needed.

As for the (b-a)*h, coming from the two rectangle sections made up of triangle pieces, they can be joined together in a fashion similar to the green portion of the Triangle example on the board. These are two triangles of equal heights, joined at the tip of their bases, thus 1/2 of a rectangle and as such, come to the formula for the section of ((b-a)*h)/2.


Add this last portion of the formula to the earlier portion and you get (a*h) + (((b-a)*h)/2), a complete trapezium formula.

After a bit of rearranging and Desmos testing, both this formula and the one shown give the same results.

[NotScy]

I’m not even in high school anymore and I still watch his videos sometimes 😂😂

[Mark_The_Chemist]

I learned it by making another identical trapezoid, inverting it and making a parallelogram. Then the area of the parallelogram was (a+b)h. Divide by 2 to get the original trapezoid, therefore, (a+b)h/2.

[Saadia]

Wow! Wonderful! I really loved how you made your class engaging by challenging your students. I remained hooked onto the video the entire time. Thank you so much for posting this.

[krzysztofkowalski]

I am 31. I have never seen this that way - I want to re-learn math with your channel. I will keep going through as many videos as I can to be a good support for my child in math! Awesome logic :)

[thedrumdude]

Your an AMAZING TEACHER!! IM SO JEALOUS YOUR NOT MY TEACHER AT SCHOOL BUT I CAN STILL LEARN FROM YOU ON YOUTUBE THANKS AND KEEP UP THE FABULOUS WORK

[m.islamnafees]

Student asks for formula
Eddie Woo: Its more important to know where the formula comes from than what is it.

(I can't recall what he egg-zact-ly said, but it was something like that)

[nosta]

bh + (h(b-a)/2) is also a formula you can use. Great video!

[YouTubechannel-bopz]

Sir love you too much and I am from India you teach in easy language. That's why I like this video...

[adeebr]

5:50 you can hear a "meow", odd