Find the area of the triangle ABC if BC = 7cm, AC = 14cm, angle C = 30 degrees.

Given a triangle ABC with sides BC = 7 cm, AC = 14 cm and <C = 300. There are different ways to find the area of a triangle. We use among them, finding the area using the side and the angle between these sides.

S = (BC * AC * Sin C) / 2.

Here, S is the area of the triangle, BC and AC are the sides of the triangle, Sin C is the sine of the angle between these sides.

Using this, we find the area of the triangle:

S = (7 * 14 * Sin 300) / 2 = (98 * 1/2) / 2 = 49/2 = 24.5 cm ^ 2.

Answer: The area of the triangle ABC S = 24.5 cm ^ 2.