Amanda`s Pythagoras Relationships

10. a) a(2) 81 cm (2)
b(2) 144 cm (2)
c(2) 225 cm (2)
d) a+b=c
81= 144= 225
225=225

11. a) A(2)+b(2)=c(2) b) No this triangle is not a right triangle because 4x9 does not equal
2(2)+3(2)=4(2) to 16 like 4x4 does.
(2x2)+(3x3)=4x4
2+9=13
13=16

12. a) a(2)+b(2)=c(2)
9(2)+12(2)=15(2)
(9x9)+(12x12)=15x15
81+144=225
225=225-perfect triangle

b) a(2)+b(2)=c(2)
7(2)+8(2)=11(2)
(7x7)+(8x8)=11x11
49+64=113
113=121-Non-perfect triangle

c)a(2)+b(2)=c(2)
7(2)+b(2)=25(2)
(7x7)+(24x24)=25x25
49+576=625
625=625-Perfect triangle

d)a(2)+b(2)=c(2)
16(2)+30(2)=34(2)
(16x16)+(30x30)=34x34
256=900=1156
1156=1156-Perfect triangle