Answer:
a.True
b. True
Step-by-step explanation:
a. #Given two angles and one side
Let the given angles be A° and B° and side x, the angle and two remaining sides can be calculated as:
[tex]\frac{a}{sin \ A\textdegree}=\frac{b}{sin \ B\textdegree}=\frac{x}{sin \ (180-A-B)\textdegree}[/tex]
#Given two sides and one non-included angle.
Let the given angle A° and sides x and y, the angle remaining sideand angle can be calculated as:
[tex]\frac{x}{sin \ A\textdegree}=\frac{y}{sin \ B}=\frac{c}{sin \ C\textdegree}[/tex]
b.#Given three sides
Let the given sides be a, b and c:
The angles can be calculated as:
[tex]a^2=b^2+c^2-2bc\ cos \ A\\\\b^2=a^2+c^2-2ac\ cos \ C\\\\c^2=a^2+b^2-2ab\ cos \ B[/tex]
#Given two sides and the included angle
Let the sides given be c, b and the angle A, the remaining sides can be calculated by substituting values in the equation;
[tex]a^2=b^2+c^2-2bc\ cos \ A\\\\[/tex]
