Given a rhombus with a side a length of 10 cm and one diagonal length of 12 cm, find
the length of the other diagonal as well as the area of the rhombus.

The length of the other diagonal is 20 cm.

Step-by-step explanation:

We know that:

Side of Rhombus = 10 cmDiagonal = 12 cmThe sides of a rhombus are equal.Area of rhombus = 1/2(Product of the diagonals) = Base x height

To find the other diagonal, we must compare the two formulas of a rhombus.

1/2(Product of the diagonals) = Base x height=> 1/2(12x) = 10 x 12=> 6x = 120=> x = 20

Hence, the length of the other diagonal is 20 cm.