Find the area of a rhombus if its diagonals are 10 cm and 12 cm?

A rhombus is a quadrangle in which all sides are equal, opposite angles are equal and opposite sides are parallel.
Let a rhombus ABCD be given: AC = 12 cm and BD = 10 cm – the diagonals of the rhombus.
The area of a rhombus is calculated by the formula:
S = (d₁ * d₂) / 2,
where d₁ and d₂ are the lengths of the diagonals of the rhombus. Thus, the area of a rhombus is half the product of its diagonals.
Substitute the value condition data into the formula and find the area of the rhombus ABCD:
S = (AC * BD) / 2 = (12 * 10) / 2 = 120/2 = 60 (cm²).
Answer: S = 60 cm².