Find the area of the triangle ABC if AB = 6 √8 cm. AC = 4 cm, angle A = 60 degrees.

In order to find the area of a triangle, the two sides of which are 6√8 cm and 4 cm, and the angle between them is 60 °.

Let’s first of all recall the formula for finding the area of a triangle through two sides and the angle between them.

The formula looks like this:

S = 1/2 * a * b * sin (α).

The area of a triangle is half the product of the sides and the sine of the angle between them.

We remembered the formula, we just have to substitute the values and calculate.

S = 1/2 * 6√8 * 4 * sin (60 °) = 1/2 * 6√8 * 4 * √3 / 2 = 24√24 / 4 = 12√6 cm2.