Chapter 8.2, Problem 6AYU

To determine

To find: Whether the given statement is true or false.

Explanation of Solution

Given information:

The given statement is, “An oblique triangle in which two sides and an angle are given always results in at least one triangle”.

Concept used:

For a triangle with sides a , b , c and opposite angles A , B , C , the Law of Sines state that

  $\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}$

If the oblique triangle satisfies the Law of sine or cosine, then the given triangle possible.

It is not possible that if an oblique triangle in which two sides and an angle are given always results in at least one triangle.

Thus, the given statement is false.