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8,759 Views • Aug 6, 2024 • Click to toggle off description
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Here is the original video in wide-format, wordless, with dramatic music:
• Trapezoid Area (visual proof)
Here is a related visual proof for the area of a parallelogram:
• Parallelogram Area : Side-angle-side ...
#area #triangle #trapezoid #geometry #visualproof #math #manim
This video was inspired by a beautiful GeoGebra applet created by Tim Brzezinski:
www.geogebra.org/m/ZeDN7ZTW
To learn more about animating with manim, check out:
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Views : 8,759
Genre: Education
License: Standard YouTube License
Uploaded At Aug 6, 2024 ^^
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RYD date created : 2024-08-19T13:53:29.806116Z
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44 Comments
Top Comments of this video!! :3
I always thought of it as the average length of the trapezium, forming a rectangle of uniform length and width
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Ohhhh!! That's why!! I finally know the reason for that formula!! 💗
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We learned, to double it into a parallelogram, and then /2 to get the trapezoid formula
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I mean another good method is to duplicate the trapezium and then flip it vertically. That when you fit the two trapezium together, you'll get a parallelogram.
Meaning that a trapezium is just half the area of a parallelogram and a parallelogram is twice the area of a trapezium.
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I have a Math degree and never thought to look up how this formula was created. Good stuff
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Solid proof 💯 keep going!
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Join any diagonal , now there are triangles with height. Find their area and take out 1/2 and height common
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If we put two trapezium one is right way another one is upside down together we found a parallelogram at the topside is b2+b1 and at the bottom is b1+b2 base = b1+b2. Formula of the parallelogram is bh
If we put trape(Parll)= (b1+b2)h
If we put real trapezium which is half of parallelogram is ((b1+b2)h)/2
Henzed proof.
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my logic was get 2 identical copies, arrange them into a paralellogram sideways and calculate THAT before deviding the whole thing by 2
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Another way is to double the trapezoid and combine them… kinda like how u would visualize triangle’s area
This’s what my previous textbook does 😄
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Cemu sve to, odakle to sada Pitagorim teorem, to nas u skoli nisu ucili!
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stunning . but why would any teacher like to make disappear both that turning point and that sommation point of b1+b2.
we would like to see both of them in the resulting figure, please, please ! some seconds longer .
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I wonder if the formula to find a trapezoid’s area is just how you find the area of any quadrilateral
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Maa Shaa Allaaaaah
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Scalene triangle
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how do we know that the larger triangle is straight line?
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Is b1 and b2 should be parallel?
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Woooo
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So trapezoid is righ triangle
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@Kofhiliphus
3 months ago
The urge to use pythagorean theorem when it transformed into the triangle.
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