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1.
Given A, B and c, find b, C
and c
a sinB
a sin C
b= ------ , C=180o-(A+B),
c= --------
A
sin A
2.
Given A, a and b, find B, C and c
b sinA
a sinC
sin B= ------ , C=180o-(A+B),
c= -------
a
sinA
3.
Given a, b and c, find A, B and c
a sinC
a sinC
tan A= ---------- , B=180o-(A+C),
c= -------
b-(a cosC)
sinA
4.
Given a, b and c, find A, B and C
b2+c2-a2
a2+c2-b2
cos A= -------- , cosB=
--------- , C=180o-(A+B)
2ac
5.
Given a, b, c, A, B and C, find Area
a+b+c
s= ----- , Area=√s(s-a)(s-b)(s-c)
2
bc sinA a2 sin
B sin C
Area = ------- , Area =
--------------
2
2 sinA
Rectangle

If square, a=b
Area = ab
Perimeter = 2(a+b)
Diagonal = ________
\/a2+b2
Parallelogram

All sides are parallel
z = degrees
Area = ah = ab sin z
Perimeter = 2(a + b)
Trapezoid

Area = (a + b)
------- h
2
Perimeter = Sum of lengths of
sides
Quadrilateral

z = degrees
d1 x d2 s sin z
Area = ---------------
2
Trapezium

a to g = lengths
Perimeter = a + b + c + d
(h+k)g+eh+fk
Area = ------------
2
Equilateral Triangle

a = all sides equal
Perimeter = 3a
a
__
h = - \/3 = 0.866 a
2
_
\/3
Area = a2 ---- = 0.433 a2
4
Annulus

Area = .7854(d2-f2)
Area = pi(r1 + r2)(r2 -
r1)
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