Begin2.DVI

(Ben Green) #1
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
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