# Find the area of a triangle whose two sides are 11 and 14 and the angle between them is 120.

May 29, 2021 | education

| To find the area of a triangle, the two sides of which are 11 and 14, and the angle between them is 120 °.

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 equal to 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 * 11 * 14 * sin (120 °) = 1/2 * 11 * 14 * √3 / 2 = 154√3 / 4 = 77√3 / 2.

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