Page 1: Investigation
AB 3 units
BC 4 units
AC = 5 units
Calculate:
(AB)^2 = 9 units2
(BC)^2= 16 units2
(AC)2 = 25 units2
(AB)2 + (BC)2 = 25 units2
Page 2: Example 1
p^2= m^2 + r^2 or m^2= p^2 - r^2 or r^2= p^2 - m^2
w^2= x^2 + y^2 or y^2= w^2 - x^2 or x^2= w^2 - y^2
f^2= e^2 + d^2 or e^2= f^2- d^2 or d^2= f^2 - e^2
Page 2: Example 2
1. x= 5m
2. x= 5.656854249 or 5.7
Page 2: Practice
a) Samantha cycled 15.8113883 or 15.81km
b) She would have travelled 4.19km more if she cycled around the park
Page 3: Practice
1a) 97.08243919cm
1b) b
2. L= 7.778174593 or 7.8cm
Page 4: Practice (cont.)
3. A 19mm
4. The perimeter of the triangle is 12cm
5. The cross country runner saves about 1km.
6. The ladder reaches 5.075431016 or 5.1m up the wall.