Find the area of a rhombus if its diagonals are 10 cm and 6 cm.

We are given from the condition a rhombus with the lengths of its diagonals and they are equal to 10 cm and 6 cm, respectively.

And we need to find the area of the rhombus.

To do this, we will apply the formula to calculate the area of a rhombus through the diagonals:

S = 1/2 * d1 * d2.

The area of the rhombus is half the product of the lengths of the diagonals.

We need to plug the values into the formula and perform the calculation:

S = 1/2 * d1 * d2 = 1/2 * 10 * 6 = 5 * 5 = 30 cm square area of a rhombus given by the lengths of the diagonals 10 and 6 cm.

Answer: the area of the rhombus is 30 cm2.