The four sided gure shown in Figure P26 consists of two triangles having a common side a The law of cosines for the top triangle states that a 2 b 2 1 c 2 1 2b 1 c 1 cos A 1 and a similar equation can be written for the bottom triangle Develop a procedure for computing the length of side c 2 if you...

To compute the length of side c2 we can use the law of cosines for both triangles and then sol ...

The four-sided gure shown in Figure P26 consists of two triangles having a common side a. The

Question:

The four-sided gure shown in Figure P26 consists of two triangles having a common side a. The law of cosines for the top triangle states that

a² = b²₁ + c²₁- 2b₁c₁ cos A₁

and a similar equation can be written for the bottom triangle. Develop a procedure for computing the length of side c₂ if you are given the lengths of sides b₁, b₂, and c1 and the angles A₁ and A₂in degrees. Write a script le to implement this procedure. Test your script, using the following values:

b₁ = 180 m, b₂ = 165 m, c₁ = 115 m, A₁ = 120°, and A₂ = 100°.

Figure P26

b; A, a B1 C2 B2 b2 A2 C2