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- The Donmeister
- Posts:614
- Joined:Sun Nov 19, 2006 10:19 am
I can prove Pythagoras' theorem. So there!

First of all, ΔABF = ΔAEC by SAS. This is because, AE = AB, AF = AC, and
BAF = BAC + CAF = CAB + BAE = CAE.
ΔABF has base AF and the altitude from B equal to AC. Its area therefore equals half that of square on the side AC. On the other hand, ΔAEC has AE and the altitude from C equal to AM, where M is the point of intersection of AB with the line CL parallel to AE. Thus the area of ΔAEC equals half that of the rectangle AELM. Which says that the area AC2 of the square on side AC equals the area of the rectangle AELM.
Similarly, the are BC2 of the square on side BC equals that of rectangle BMLD. Finally, the two rectangles AELM and BMLD make up the square on the hypotenuse AB.

First of all, ΔABF = ΔAEC by SAS. This is because, AE = AB, AF = AC, and
BAF = BAC + CAF = CAB + BAE = CAE.
ΔABF has base AF and the altitude from B equal to AC. Its area therefore equals half that of square on the side AC. On the other hand, ΔAEC has AE and the altitude from C equal to AM, where M is the point of intersection of AB with the line CL parallel to AE. Thus the area of ΔAEC equals half that of the rectangle AELM. Which says that the area AC2 of the square on side AC equals the area of the rectangle AELM.
Similarly, the are BC2 of the square on side BC equals that of rectangle BMLD. Finally, the two rectangles AELM and BMLD make up the square on the hypotenuse AB.
- Kyler Thatch
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You're not the boss of me now.
If you do not repent, I will come to you and remove your lampstand from its place. (Revelation 2:5, NIV)
Josh Woodward, Ohio Singer/Songwriter, offers his songs for free. Give him a listen.
Josh Woodward, Ohio Singer/Songwriter, offers his songs for free. Give him a listen.
You're not the boss of me now etc.
If you do not repent, I will come to you and remove your lampstand from its place. (Revelation 2:5, NIV)
Josh Woodward, Ohio Singer/Songwriter, offers his songs for free. Give him a listen.
Josh Woodward, Ohio Singer/Songwriter, offers his songs for free. Give him a listen.
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