Answer: the expression is
A = Sin^-1(D/bc)
Step-by-step explanation:
The formula for determining the area of a triangle is expressed as
Area = bcSinA
Where b and c are the length of each side of the triangle. Angle A is the given angle corresponding to side a.
The area of the given triangle is D. It means that
D = bcSinA
Therefore, the expression that can be used to find the measure of angle A would be
D = bcSinA
Dividing both sides of the equation by bc, it becomes
D/bc = bcSinA/bc
SinA = D/bc
Taking inverse of sine of both sides of the equation, it becomes
A = Sin^-1(D/bc)