## Tuesday, February 14, 2012

### pythagoras scribe

1. a and b are the legs of a triangle and c is the hypotenuse
A(squared) + b(squared) = c(squared) means that the squared legs of a triangle equals the hypotenuse squared.
2. A(squared) + b(squared) = c(squared)
A=12cm B=5cm (12x12) + (5x5) = c(squared)
144+25=169
the square root of 169 equals the side length of c
c=13
3. A(squared) + B(squared) = c (squared)
A=8cm B=6cm (8x8) + (6x6) = c(squared)
64 + 36 = 100
the square root 100 equals the side length of c
c=10 this is a right triangle because the hypotenuse is longer then the legs

3.4 pages 104-105 #3-16
3. A) A(squared) + B(squared) = C(squared)
C(squared) = (12x12) + (16x16)
C(squared) = 144+256
C(squared) = 400
the square root of 400 equals the side length of c
C=20cm

B) A(squared) + B(squared) = C(squared)
R(squared) = (30x30) + (16x16)
R(squared) = 169 + 126
R(squared) = 295
the square root of 295 equals the side length of C
R = 17.17cm

4.A) A(squared) + B(squared) = C (squared)
Z(squared) = (7x7) + ( 6x6)
Z(squared) = 49 + 36
Z(squared) = 85
the square root of 85 equals the side length of C
Z=9.2

B) A(squared) + B(squared) = C(squared)
(8x8) + (11x11) = C(squared)
64 + 121 = 185
the square root of 185 equals the side length of c
C=13.6cm

5.A)6x6=36
8x8=64
B) 36+64=100
C) the square root of 100 is 10