Question

Mark each statement as True or False?

Answer 1

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:

$\frac{a}{sin \ A\textdegree}=\frac{b}{sin \ B\textdegree}=\frac{x}{sin \ (180-A-B)\textdegree}$

#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:

$\frac{x}{sin \ A\textdegree}=\frac{y}{sin \ B}=\frac{c}{sin \ C\textdegree}$

b.#Given three sides

Let the given sides be a, b and c:

The angles can be calculated as:

$a^2=b^2+c^2-2bc\ cos \ A\\\\b^2=a^2+c^2-2ac\ cos \ C\\\\c^2=a^2+b^2-2ab\ cos \ B$

#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;

$a^2=b^2+c^2-2bc\ cos \ A$