Find the area of a rhombus if its diagonals are 14 and 6 cm.

Given:
Rhombus AВСK,
ВK and CA – diagonals of the ABСK rhombus,
ВK = 6 centimeters,
CA = 14 centimeters.
Find the area of a rhombus, that is, S avsk -?
Decision:
Consider a rhombus ABCK. The area of a rhombus is found through the product of its diagonals by 1/2. Therefore, we get:
S avsk = 1/2 * BK * CA;
S avsk = 1/2 * 6 * 14;
S avsk = 3 * 14;
S absc = 42 square centimeters.
Answer: the area of the rhombus is 42 square centimeters.