Find the area of a triangle if BC = 7, AC = 14, and the angle C is 30 degrees.

Since we do not know the type of triangle by the condition of the task, we consider it arbitrary;

Consider the condition of the task;

Since we know the two sides and the angle between them, we recall the formula for the area of a triangle along two sides and the angle between them;

S = 1/2 * a * b * sin (a);

Where “a” and “b” are the sides of the triangle;

sin (a) – sine of the angle between the sides;

Substitute the values into the formula and get the expression;

S = 1/2 * 7 * 14 * sin (30);

sin (30) = 1/2;

S = 1/2 * 1/2 * 7 * 14;

S = 1/4 * 98;

S = 24.5cm2.