In a rhombus ABCD diagonal BD = 12cm, AC-10cm, angle B = 60 degrees. Find the perimeter of the rhombus.

Let’s calculate what will be equal to half of the VD diagonal:

12: 2 = 6.

Let’s calculate what will be equal to half of the AC diagonal:

10: 2 = 5.

Since the diagonals of a rhombus by definition intersect at right angles, that is, their halves are the legs of a right-angled triangle, where the side of the rhombus is the hypotenuse, we calculate the length of the side of the rhombus:

x: 2 = 6: 2 + 5: 2;

x1 = √61.

x2 = -√61.

Let’s calculate how many centimeters the value of the rhombus perimeter will correspond to:

4 * √61 = 4√61.

Answer: The perimeter is 4√61 cm.