APPENDIX BBackground MaterialGeometry
Rectangle
Area=(base)(height)=bhPerimeter= 2b+ 2hRight Triangle
Area=1
2 (base)(height)=1
2 bh
Perimeter=b+h+r
wherer^2 =b^2 +h^2 is the Pythagorean theoremTriangle with sides a, b, c and angles A, B, C
Area=^1
2(base)(height)=^1
2bh=^1
2b(asinC)
Perimeter=a+b+cLaw of Sines a
sinA= b
sinB= c
sinC
Law of Cosines c^2 =a^2 +b^2 − 2 abcosCTrapezoid
Area=^1
2(b 1 +b 2 )h
Perimeter=b 1 +b 2 +c 1 +c 2c 1 =h
sinθ 1 c^2 =h
sinθ 2Circle
Area=πρ^2
Perimeter= 2πρ
Equation x^2 +y^2 =ρ^2