The sides of the triangle are 2 and √3, the angle between them is 30. Find the third side.

According to the cosine theorem, the side of a triangle is equal to the square root of the sum of the squares of the other two sides minus the double product of these sides by the cosine of the angle between them: a = √ (b2 + c2 – 2 * b * c * cos α).

Let’s find the unknown side of this triangle:

a = √ (22 + (√3) 2 – 2 * 2 * √3 * cos 30) = √ (4 + 3 – 4√3 * √3 / 2) = 1.