Question

You can construct a triangle with compass and straightedge when given three parts of the triangle (except for three angles). Which of the following given sets could result in the ambiguous case?

(A) Given: three sides
(B) Given: two sides and an included angle
(C) Given: two sides and a non-included angle
(D) Given: two angles and a non-included side

Answer 1

Given: two sides and a non-included angle

Explanation:

This can sometimes result in 2 possible values when using the Law of Sines, since sin(180°-x)=sin(x)