Law of Sines AWS

November 15, 2016

Law of Sines Allows you work in non-right triangles.

For any triangle ABC, the ratio of the sine of an angle to the opposite side of the angle is constant.

Let's see what we have and what works In triangle ABC

and b = 39 cm. Solve the triangle.

angle A =

B

a=

110

b= A

32 C

39cm

November 15, 2016

In triangle ABC a = 15, b = 12, and B= 25 degrees. Solve the triangle angle A = A

angle C = c= 12

25

B

15 C

Create a triangle by following my directions.

November 15, 2016

Using what I gave your group:

Create a triangle with side b = 100 ft, side c = 60 ft and angle C = 28 degrees.

November 15, 2016

Whose picture looks like this?

A

100 ft

60 ft

B

C

Whose picture looks like this?

A

100 ft

60 ft

C

B

November 15, 2016

Why is that possible?

Here are both options of our triangle. What changes and what stays the same? A

100 ft 60 ft 60 ft

B

C

November 15, 2016

That situation is called the AMBIGUOUS CASE. When does it occur?

Solve the triangle: