Impossible Wooden Math Puzzle of the Missing Square

This is a great puzzle. I could not figure it out until I went to go and make it and I realized how it worked. Both the puzzle and the solution are given in this video. Geometric reasoning is the key, Algebra won't help. Great example of similar triangles and trigonometry.
PDF Plan of project with measurements:
drive.google.com/open?id=1TkG... Some of my favorite tools: www.amazon.com/shop/colfaxmath

[@luapnagle]

Finally someone else who shows that gap... had so many arguments on my video

[@ColfaxMath]

Thank you

[@lempriere011]

Best explanation I've seen yet!

[@ColfaxMath]

Thank you, glad to hear it

[@mrmrhla]

Thank you for this easy to understand, visual explanation! 👏👏👏

[@ColfaxMath]

Glad it helped

[@mrgyani]

It's incredible how those tiny little gaps produce such a big missing square..

[@ColfaxMath]

Yes it is

[@emerald903]

Great explenation.
Push👍🏼

[@ColfaxMath]

Thank you

[@hairlesswookieofhoth3574]

Thanks for spelling that out.. other douch bags wanted you to watch another video or visit their blog for the answer.. I hate people like that..I gave thumbs up and subscription good job on teaching and yes I did suspect that they didn't fit perfectly how else to get the missing area.. but why should I have to visit a blog when the answer is so simple to just include

[@ColfaxMath]

Glad it answered the question

[@GeorgeT.G.]

super

[@ColfaxMath]

Thank you

[@zonzogonzo1427]

The wording for this problem is the biggest "illusion".

[@ColfaxMath]

Ok

[@user-nw1nb6du1y]

3*5 is equals to 2*8-1

[@hugoniga3634]

зазоры на первом треугольнике образуют квадрат на втором

[@ColfaxMath]

That's what I was thinking as well