Solving Oblique Triangles

Based on the given information determine the number of unique triangles that may exist.
A= 37°, a=8, b=14

• Triangle

• Triangles

• No Triangles

• Triangles

Will this make 1 triangle? 2 Triangles? or No Triangles?
B= 70°, b=85, c=88

• 1 Triangle

• 2 Triangles

• No Triangles

Amanda and Jamie are standing 25 feet apart and spot a bird in the sky between them.  The angle of elevation from Amanda to the bird is 55, and from Jamie to the bird is 63.  How far away is the bird from Amanda?

• 25.23

• 23.19

• 22.15

• 20.85

Completely solve the triangle (find Angle A, Angle C, and side c).

• m∠A = 47;  m∠C = 56;  c = 20 m

• m∠A = 51;  m∠C = 52;  c = 17 m

• m∠A = 52;  m∠C = 51;  c = 20 m

• m∠A = 47;  m∠C = 56;  c =17 m

Find the area of ABC to the nearest tenth.

• 62.3 units²

• 124.6 units²

• 77.0 units²

• 100 units²

Solve each triangle. A=110, C=30, c=3

• B=40, a=5.64, b= 3.86

• B= 45, a= 6.93, b= 2.76

• B= 40, a= 7.90, b= 3.41

• B=40, a= 6.21, b= 3.86

Parker must find the distance from Point A to Point B on opposite sides of a lake.  He locates Point C that is 860 feet from point A and 175 feet from Point B.  He measures the angle at Point C to be 78 degrees.  Find the distance from point A to point B.

• 707643.58

• 841.22

• 877.62

• 842.01

Choose which law you need to solve the problem (DO NOT SOLVE):

• Law of Sines

• Law of Cosines

• Both

• Neither

Given: B = 70°, a = 11, C = 40° Find: c

• 11

• 7.5

• 70

• 8

Solve the Triangle
a=38, b= 31, c= 35
Find A, B and C

• A= 43°, B= 47°, C= 90°

• A= 70°, B= 50.1°, C= 59.9°

• A= 50.1°, B= 70°, C= 59.9°

• A= 60°, B= 70°, C= 50°