CAA: Christian Anime Alliance

hola everyone! i am sora's friend, LostChild, and i need help with my geometry homework. i need to make two different hexagons using all seven tangram pieces. unfortuately i can't post the pictures, but if ya could give a discription of what you tink would work, thanx! use five right triangles, a tapesoid, and a square.

Namarie,
LostChild aka: Queen_Elessar.

Sorry I only had time to do one. You should be able to get the second, I don't want to give all the answers.
I've come up w/ the first solution. You didn't state whether the triangles have to be equal size or if it had to be the tradition Hexagon; this should be okay because hexagons by definition only needs to have to have 6 sides. So i believe this will do, it has all the parts: 5 right triangles, one square and one trapezoid. I hope this is what your wanting; hope this works. Solution one (with the help of photoshop ) :

Thank You!

I really don't like half solutions, so here is the complete solution. What was done above was nice, however we can create a second solution from the one above, note that two alike triangles form a rectangle when they are presented as above in agasfas's example. Seeing as a rectangle is just a longer square squish his examle so that the triangles make a square and make sure that both squares are of equal size. Now we can create hexagon number two by changing the square for the two triangles and the triangles for the square. , Putting this in another way note that you can just change the triangles above the square for the square and vise versa. Hopefully this completes the problem.
God Bless,

Pascal

No problem Soras, anything I can do to help.

Pascal,I was hoping she would be able to figure the rest out. I mean, you can derive many different solutions just by flipping things around... I just wanted her to figure that one out.