Answer:
The correct option is A.
Step-by-step explanation:
Let the vertices of the triangle be ABC.
Draw a perpendicular on AC from B. The height of triangle is represented by the altitude from B.
[tex]\sin A=\frac{BD}{AB}[/tex]
[tex]AB\sin A=BD[/tex]
Area of the triangle is
[tex]A=\frac{1}{2}\times base\times height[/tex]
[tex]A=\frac{1}{2}\times (AC)\times (BD)[/tex]
[tex]A=\frac{1}{2}\times (AC)\times (AB)\sin A[/tex]
[tex]A=\frac{1}{2}(AC)(AB)\sin A[/tex]
Therefore option A is correct.
