I) Use a square with side lengths a+b, which is decomposed
into four right triangles with bases a,b and a rotated square with
side-length c, to prove the Pythagorean Theorem. Hint: compute
the area of the square two ways.
%8.1 (second edition): 1-4,6,7,10; or
%5.1 (first edition): 1-4,7,8 plus #10 above
Grading: 22 points possible, distributed as follows:
Pythagorean Thm: 2 points; 1a,b,c: 1 point apiece;
2v,vi,xii: 1 point apiece (see solutions for numbering);
3: 2 points; 4i,ii,iii,iv: 1 point apiece; 6: 2 points;
7a,b: 1 point apiece; 10a,b: 2 points apiece.