The length of the diagonals of a rhombus are 60 and 80 cm .Find the perpendicular distance between the opposite sides of a Rhombus.
Answers
Perpendicular distance between the opposite sides of a Rhombus = 48 cm
Step-by-step explanation:
The length of the diagonals of a rhombus are 60 and 80 cm
=> Area of rhombus = (1/2) * 60 * 80
= 2400 cm²
Diagonal of rhombus bisect perpendicularly each other
=> Side of Rhombus² = (80/2)² + (60/2)²
=> Side of Rhombus² = 40² + 30²
=> Side of Rhombus² = 1600 + 900
=> Side of Rhombus² = 2500
=> Side of Rhombus = 50
Area of rhombus = Side of Rhombus * perpendicular distance between the opposite sides of a Rhombus
=> 2400 = 50 * perpendicular distance between the opposite sides of a Rhombus
=> perpendicular distance between the opposite sides of a Rhombus = 48 cm
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