Sunday, January 9, 2011

9.8

On Friday, we learned about The Pythagorean Theorem and Space Figures.
We mostly deal with the rectangular solid and regular square pyramid.


Rectangular Solid:


CDHG is one of the 6 faces.

is one of the 12 edges.

is one of the 4 diagonals of the rectangular solid.

If you were give the dimensions 8, 9, and 12 in order to find the diaganol
, it wouldn't matter which edges you assigned the lengths to. So you could let EG=9, GH=12, and AE=8. Then use the pythagorean theorem to find EH=15. Now from using AE=8 and EH=15, you can use the pythagorean theorem to solve for AH which equals 17.


Regular Square Pyramid:




The base is a square.
The altitude is perpendicular to the base at its "center."
The slant height is perpendicular to the "side" of the base. To solve for the slant height, you would use pythagorean theorem with the height and half of the base.







Sorry this blog post was really short, but this section was short, so this pretty much covers it all.

-Megan


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