find the area of rhombus whose side is 6cm and whose altitude is 4cm.If one of its diagonal 8cm long,find the length of other diagonal.
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Area of the rhombus = Side × Length of altitude to the corresponding side from opposite vertex = 6 cm × 4 cm = 24 cm
Let the length of the other diagonal is x
It is known that the area of a rhombus is half of the product of diagonals of the rhombus.
∴ (1/2) × 8 cm × X = 24 cm²
= (24 × 4) cm = 6 cm
Thus, the measure of the remaining diagonal of the rhombus is 6 cm.
Let the length of the other diagonal is x
It is known that the area of a rhombus is half of the product of diagonals of the rhombus.
∴ (1/2) × 8 cm × X = 24 cm²
= (24 × 4) cm = 6 cm
Thus, the measure of the remaining diagonal of the rhombus is 6 cm.
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