March 03, 2015
Obj: To learn and apply the Law of Sines to solve non-right triangles.
Special Case (SSA)
B
A
C
March 03, 2015
Obj: To learn and apply the Law of Sines to solve non-right triangles.
In the SSA case, three possibilities can occur.
* 0 triangles exist
* 1 triangle exists
* 2 triangles exist
A is acute
1.
opp
left
2.
left
h
A
opp
h
A
height < opp < left
opp < height
0
2
s
4.
3.
left
left
opp
h
opp
h
A
A
opp > left
opp = height
1
1
A is obtuse
opp
1.
2.
opp
left
left
A
A
opp < left
0
opp > left
1
March 03, 2015
Obj: To learn and apply the Law of Sines to solve non-right triangles.
Find the remaining sides and angles. If two triangles exist, solve for
both.
1.
a = 12m, b = 31m, A = 21o
March 03, 2015
Obj: To learn and apply the Law of Sines to solve non-right triangles.
2. a = 15 ft, b = 25 ft, A = 85o
March 03, 2015
March 03, 2015
Obj: To learn and apply the Law of Sines to solve non-right triangles.
HW:
(HR) Pg.439: 5, 9, 13-19odd, 38