Example 1

Solve the triangle ABC, b = 472.12, c = 607.44, A = 125⁰ 15'

Solution

Using Law of cosines, a² = b² + c² - 2bc cos A we get

\ a² = (472.12)² + (607.44)² - 2 (472.12) (607.44) cos (125⁰ 15')

\ a2 = 922829.21 \ a = 960.64

Using Law of sines to find smaller angle from remaining two

Example 2

The legs of an isosceles triangle are 28 each. They include an angle of 17⁰ . Solve the triangle.

Solution

Index

3. 1 Solving Right Triangles
3. 2 Law of Cosines
3. 3 Law of Sines
3. 4 The Ambiguous Case of Law of Sines
3. 5 Areas of Triangles
Supplementary Problems

Chapter 4