MATH 9 LAW OF SINES

help solve angles or sides in oblique triangle

(a)  

requirements of law of sines

• 1 complete fraction

• 3 given parts

• 1 side

• 1 angle and 1 angle

• cant just be any 3 dimensions

2 angles & 1 non included side

• aas

• asa

• ssa

2 angles & 1 included side

• aas

• asa

• ssa

2 sides and 1 included angle

• aas

• asa

• ssa

more than 1 interpretation

• aas

• asa

• ssa

least number of triangles formed in ssa

• 0

• 2

• 1

• 3

in ssa, we first solve the

• hyp

• height

• non opp side

• opp side

formula for h

ns=non opp side

os=opp side

• ns(sinGiven angle)

• os(sinGiven angle)

ACUTE

os<h

ns=non opp side

os=opp side

• no solution

• 1 triangle

• 2 triangle