Law of Sines, Cosines, and Area of Triangles

Based on the given information determine the number of unique triangles that may exist.

a = 3, b = 6, c = 12

• 1 Triangle

• 2 Triangles

• No Triangles

• 3 Triangles

Based on the given information determine the number of unique triangles that may exist.
B= 70°, b=85, c=88

• Triangle

• Triangles

• No Triangles

• Triangles

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

Find AC

• 12

• 10

• 23

• 14

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°

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

• Law of Sines

• Law of Cosines

• Both

• Neither

In triangle ABC, a = 5, b = 6, c = 7. Which law would you need to use first?

• Law of Sines

• Law of Cosines

• Both trig laws

• None of these

• Pythagorean Theorem

• A

• B

• C

• D