APPENDIX B
Background Material
Geometry
Rectangle
Area=(base)(height)=bh
Perimeter= 2b+ 2h
Right Triangle
Area=
1
2 (base)(height)=
1
2 bh
Perimeter=b+h+r
wherer^2 =b^2 +h^2 is the Pythagorean theorem
Triangle with sides a, b, c and angles A, B, C
Area=^1
2
(base)(height)=^1
2
bh=^1
2
b(asinC)
Perimeter=a+b+c
Law of Sines a
sinA
= b
sinB
= c
sinC
Law of Cosines c^2 =a^2 +b^2 − 2 abcosC
Trapezoid
Area=^1
2
(b 1 +b 2 )h
Perimeter=b 1 +b 2 +c 1 +c 2
c 1 =
h
sinθ 1 c^2 =
h
sinθ 2
Circle
Area=πρ^2
Perimeter= 2πρ
Equation x^2 +y^2 =ρ^2