Find the area of a rhombus, each side of which measures 20 cm and one of whose diagonals is 24 cm.
Length of side of rhombus = 20 cm
Length of one diagonal = 24 cm
In ΔAOB
Using pythagorous theorem:
AB2 = OA2 + OB2
202 - 122 = OB2
OB2 = 400 – 144
OB2 = 256
OB = 16
Hence, length of other diameter = 16 × 2 = 32 cm
Area of rhombus =
Area of rhombus =
Area of rhombus = 384 cm2